graph transformations calculator

Look at the image above and ask your teacher which ones youre in charge of. WebInteractive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! Vertically or horizontally shift (translate). The following Laplace transform table helps to solve the differential equations for different functions: A well-known mathematical technique for solving a differential equation is the Laplace transform. Use "x" as the variable like this: Examples: sin (x) 2x3 cos (x^2) (x3) (x+3) Zooming and Re-centering Log InorSign Up. Reflect over the x-axis, or vertically, if there is a negative outside parentheses (all the y-values become negative). get Go. Graph \(f ( x ) = \sqrt { x }\) and \(g ( x ) = - \sqrt { x }\) on the same set of coordinate axes. If a number is being added outside of parentheses, shift it up by that amount, or if a number is being removed, shift it down by that amount (ex: f(x) = x22 moves down 2). When the graph of a function is changed in appearance and/or location we call it a transformation. Example: y=2x+1 Example (Click to try) y=2x+1 How to graph your problem Graph your problem using the following steps: Type in your equation like y=2x+1 (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph! Transformation Calculator Graph 1. If we add a positive constant to each \(y\)-coordinate, the graph will shift up. Parent function: For the two values of that are negative ( 2 and 1 ), replace the s with the from the absolute value ( 2 and 1, respectively) for those points. However, the function transformation takes whatever the underlying function f (x) is and transforms it, which is just a fancy way of stating that we changed the formula and moved the graph. How to move a function in y-direction? Another prominent mathematician, Leonhard Euler, was working on various sorts of integrals at the same time. Multiplying a function by a constant other than \(1\), \(a f(x)\), produces a dilation. However, the steps to calculate the Laplace transform are as follows: Step 1: Divide the given function, f(t), by e-st, where s is a complex number and s = x + iy. Statistics. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Graph functions, plot data, evaluate equations, explore transformations, and much moreall for free. by. When we change a shape, size, or location in math, we call it a transformation. WebFree calculator for transforming functions How to transform the graph of a function? The linearity equation can be used to answer the first step of the equation: (Using Linearity property of the Laplace transform), L(y)(s-2) + 5 = 1/(s-3) (Use value of y(0) ie -5 (given)), here (-5s+16)/(s-2)(s-3) can be written as -6/s-2 + 1/(s-3) using partial fraction method. This is it. Graphing. Use these translations to sketch the graph. If you just click-and-release (without moving), then the spot you clicked on will be the new center. Algebra Examples Free graphing calculator instantly graphs your math problems. Step 1: Identify the transformation on the parent graph, f. y = f ( x) Minus 2 Outside Function; Shift Down 2. However, the Laplace transform is commonly used to reduce a complex differential equation to a straightforward algebraic issue. Compare y = x 2 and y = x 2 + k where k is any integer, positive or negative. These mechanisms are found in almost every modern structure. by. Bilateral Laplace transform is another name for the Laplace transform. Statistics: Linear Regression. y=f (x)+a trigonometric. WebWe can think graphs of absolute value and quadratic functions as transformations of the parent functions |x| and x. For example, lets say you had the function f: x x 2 and you wanted to transform (map) the number 2. However, the one-sided Laplace transform is another name for the Laplace transform we defined. Step 3: Finally, the Laplace transform of the given function will be displayed in the new window. that coefficient to see the graph compress horizontally (the opposite of what youd expect). Usage To plot a function just type it into the function box. Download free on iTunes. Its similar to an on/off switch. You would insert it into the right hand part of the equation to get 2 2 = 4. WebFree Function Transformation Calculator - describe function transformation to the parent function step-by-step. Make sure you are happy with the following topics before continuing. Loading Graph Transformations. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Meanwhile, in particular, there is only one real matrix representation for any linear geometric change. Download free on. The Math Calculator will evaluate your problem down to a final solution. Functions can get pretty complex and go through transformations, like reflections along the x- or y-axis, shifts, stretching and shrinking, making the usual graphing techniques difficult. Download free on iTunes. Download full solution. This introductory activity is designed to help students develop a better understanding of the relationship between the factors of a quadratic function and the x-intercepts of its related graph. I go over how to enter numbers in lists. Pre-Algebra. Then, step 3: However, in the new window, the Laplace transform of the supplied function will be presented. Both electronic and mechanical engineering benefit from them. Solve Now. Working out the vector transformation is equivalent to working out a function and involves some basic math. Free graphing calculator instantly graphs your math problems. WebExplore equations of transformed curves. Also, if a number is being added or subtracted inside parentheses, shift it left by that amount; if a number is being subtracted, move it right (opposite of what youd anticipate). Reflect Over X-Axis or Y-Axis 3. Use rectangular, polar, cylindrical, or spherical coordinates. Transformations are used to address many mathematical issues. Eg plot y = x 2 and y = x 2 + 3 on the same diagram, compare the graphs. "Graphing Calculator is one of the best examples of elegant power and clean user interface of any application I've seen." Two different options are possible: Perform a translation. Each Get Solution. Joseph Lagrange, who refined Eulers work and did additional study, was one of Eulers admirers. Loading Untitled Graph. WebInteractive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! In other words, if c > 1, then the graph is compressed. For example, consider the functions defined by \(g(x)=(x+3)^{2}\) and \(h(x)=(x3)^{2}\) and create the following tables: Here we add and subtract from the x-coordinates and then square the result. WebJust like Transformations in Geometry, we can move and resize the graphs of functions Let us start with a function, in this case it is f (x) = x2, but it could be anything: f (x) = x2 Here are some simple things we can do to move or scale it on the graph: We can move it up or down by adding a constant to the y-value: g (x) = x2 + C Step 1: Enter the expression you want to evaluate. Graph Transformations 2 ( AGG) Investigate the transformations of the graph y = f (x + a), and how this affects the graph of y = f (x). Meanwhile, the application of the Laplace transformation is the best approach to turn differential equations into algebraic equations. Download free on Amazon. How to move a function in y-direction? WebFree calculator for transforming functions How to transform the graph of a function? Example: y=2x+1 Example (Click to try) y=2x+1 How to graph your problem Graph your problem using the following steps: Type in your equation like y=2x+1 (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph! We move every point in the shape in the same direction and at the same distance. Pre-Algebra. Plot y = x 2 4, y = x 2 1. Then state the domain and range. Use "x" as the variable like this: Examples: sin (x) 2x3 cos (x^2) (x3) (x+3) Zooming and Re-centering As a result, we can only solve differential equations with proper constants using this method. Download free on iTunes. We obtained the Laplace transformation of f(t) as a result of this procedure, that we denote with F. (s). Sketch the graph of \(g ( x ) = - | x | + 3\). They aid in the analysis of variables that, when altered, create the intended results. Weba) V 1 = 4000 V, V 2 = 400 V, Transformer Rating = 50 kVA = V 1 I 1 = V 2 I 2. Just add the transformation you want to to. A non-rigid transformation58 changes the size and/or shape of the graph. If you dont have any exact constants in your equation, youll need to come up with another method. The diagram shows the graph of y=f (x) y = f (x) and a point on the graph P (2,5). If a positive constant is subtracted from a function, \(f(x) k\), the graph will shift down. \(\begin{array} { l } { y = - 2 | x | } \quad\quad\quad\quad\:\color{Cerulean}{Basic\: graph\: with\: dilation\: and\: reflection\: about\: the\: x-axis. However, the constants a and b are used in this equation. i.e., we now know the old x and y coordinates. We can return a general transformation calculator for rotations, reflections, and shears, or we can compute the transformation matrix for a specific 2D or 3D transformation activity. Use different colors to graph the family of graphs defined by \(y=kx^{2}\), where \(k \in \left\{ 1 , \frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 1 } { 4 } \right\}\). He didnt go very far with it, though, and he abandoned it. Calculator for Transformations: Definition of Laplace Transformation. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. WebFunction Grapher is a full featured Graphing Utility that supports graphing up to 5 functions together. To double-check your work, enter a handful of your coordinates into the parent function. However, in control system engineering, the Laplace transformation is extremely important. However, the function in the time domain is changed into a Laplace function in the frequency domain using the Laplace Transform method. Otherwise, the graph will be stretched vertically. 5.0. We can extend, rotate, invert graphs or any combination of these transformations. Step 3: Finally, the graph of the quadratic function will be displayed in the new window. WebIn this video, I show you how to transform graphs using the list feature on the TI-84 Plus CE graphing calculator. We named the Laplace transform after Pierre Simon Laplace, a French mathematician and astronomer. Also, a graph that is a shift, a reflection, and a vertical stretch of y = x 2 is shown in green. Graph Transformations 2 ( AGG) Investigate the transformations of the graph y = f (x + a), and how this affects the graph of y = f (x). It is obtained from the graph of f(x) = 0.5x3+1 by reflecting it in the y-axis. Surface Of Revolution Calculator < Math Calculators List > X And Y Intercepts Finder Calculator. Get started with the video on the right, then dive deeper with the resources below. Begin with the squaring function and then identify the transformations starting with any reflections. WebThe following steps make graphing transformations so easier. Step 1: Enter the expression you want to evaluate. Internet Activities. Laplace transformations are also important for process control. As a result, the preceding fact will assist us in calculating the inverse transform of the sum of transforms. Table 2.5.1. y = f (x). In general, this describes the horizontal translations; if \(h\) is any positive real number: Begin with a basic cubing function defined by \(f(x)=x^{3}\) and shift the graph \(4\) units to the right. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. by. Begin with the basic function defined by f(x) = x and shift the graph up 4 units. Step 3: Answer: y = f ( 2 x): Primary full-load current, I 1 = (50 1000 / 4000) = 12.5 A. The Math Calculator will evaluate your problem down to a final solution. Multiplying the values in the domain by \(1\) before applying the function, \(f(x)\), reflects the graph about the \(y\)-axis. WebFree calculator for transforming functions This is an exploration activity which utilizes Desmos.com, a free online graphing calculator, to allow students to explore the Get detailed step-by-step solutions Similarly, if a whole number coefficient is enclosed in parenthesis, multiply the x-values of all points by the inverse of (!) Begin by evaluating for some values of the independent variable \(x\). A vertical translation59 is a rigid transformation that shifts a graph up or down relative to the original graph. Experiments utilising heat are an example. Multiplying a function by a negative constant, \(f(x)\), reflects its graph in the \(x\)-axis. In general, transformations in y-direction are easier than transformations in x-direction, see below. 59A rigid transformation that shifts a graph up or down. Solution. Compare y = x 2 and y = x 2 + k where k is any integer, positive or negative. 5. However, the Laplace transform is defined as the expected value in both pure and applied probability theory. Welcome to the Desmos Graphing Calculator! example. There is a two-sided variation with the integral changing from to. \(\begin{array} { l } { y = \frac{1}{x} } \quad\quad\quad\quad\color{Cerulean}{Basic \:function} \\ { y = \frac{1}{x-5} } \quad\: \quad\:\:\:\color{Cerulean}{Horizontal \:shift \: left \:3 \:units} \\ { y = \frac{1}{x-5} +3 } \:\:\:\:\:\:\:\color{Cerulean}{Vertical \:shift \:down \:5 \:units} \end{array}\). Trigonometry. WebFree calculator for transforming functions This is an exploration activity which utilizes Desmos.com, a free online graphing calculator, to allow students to explore the Get detailed step-by-step solutions Vertical and Horizontal Stretches/Compressions 5. Graphing. We named the Laplace transform (or Laplace technique) after Pierre Simon De Laplace, a prominent French mathematician (1749-1827). \(y = \frac{1}{x}\); Shift right \(2\) units; domain: \((, 2) (2, )\); range: \((, 0) (0, )\), 23.

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graph transformations calculator

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Look at the image above and ask your teacher which ones youre in charge of. WebInteractive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! Vertically or horizontally shift (translate). The following Laplace transform table helps to solve the differential equations for different functions: A well-known mathematical technique for solving a differential equation is the Laplace transform. Use "x" as the variable like this: Examples: sin (x) 2x3 cos (x^2) (x3) (x+3) Zooming and Re-centering Log InorSign Up. Reflect over the x-axis, or vertically, if there is a negative outside parentheses (all the y-values become negative). get Go. Graph \(f ( x ) = \sqrt { x }\) and \(g ( x ) = - \sqrt { x }\) on the same set of coordinate axes. If a number is being added outside of parentheses, shift it up by that amount, or if a number is being removed, shift it down by that amount (ex: f(x) = x22 moves down 2). When the graph of a function is changed in appearance and/or location we call it a transformation. Example: y=2x+1 Example (Click to try) y=2x+1 How to graph your problem Graph your problem using the following steps: Type in your equation like y=2x+1 (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph! Transformation Calculator Graph 1. If we add a positive constant to each \(y\)-coordinate, the graph will shift up. Parent function: For the two values of that are negative ( 2 and 1 ), replace the s with the from the absolute value ( 2 and 1, respectively) for those points. However, the function transformation takes whatever the underlying function f (x) is and transforms it, which is just a fancy way of stating that we changed the formula and moved the graph. How to move a function in y-direction? Another prominent mathematician, Leonhard Euler, was working on various sorts of integrals at the same time. Multiplying a function by a constant other than \(1\), \(a f(x)\), produces a dilation. However, the steps to calculate the Laplace transform are as follows: Step 1: Divide the given function, f(t), by e-st, where s is a complex number and s = x + iy. Statistics. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Graph functions, plot data, evaluate equations, explore transformations, and much moreall for free. by. When we change a shape, size, or location in math, we call it a transformation. WebFree calculator for transforming functions How to transform the graph of a function? The linearity equation can be used to answer the first step of the equation: (Using Linearity property of the Laplace transform), L(y)(s-2) + 5 = 1/(s-3) (Use value of y(0) ie -5 (given)), here (-5s+16)/(s-2)(s-3) can be written as -6/s-2 + 1/(s-3) using partial fraction method. This is it. Graphing. Use these translations to sketch the graph. If you just click-and-release (without moving), then the spot you clicked on will be the new center. Algebra Examples Free graphing calculator instantly graphs your math problems. Step 1: Identify the transformation on the parent graph, f. y = f ( x) Minus 2 Outside Function; Shift Down 2. However, the Laplace transform is commonly used to reduce a complex differential equation to a straightforward algebraic issue. Compare y = x 2 and y = x 2 + k where k is any integer, positive or negative. These mechanisms are found in almost every modern structure. by. Bilateral Laplace transform is another name for the Laplace transform. Statistics: Linear Regression. y=f (x)+a trigonometric. WebWe can think graphs of absolute value and quadratic functions as transformations of the parent functions |x| and x. For example, lets say you had the function f: x x 2 and you wanted to transform (map) the number 2. However, the one-sided Laplace transform is another name for the Laplace transform we defined. Step 3: Finally, the Laplace transform of the given function will be displayed in the new window. that coefficient to see the graph compress horizontally (the opposite of what youd expect). Usage To plot a function just type it into the function box. Download free on iTunes. Its similar to an on/off switch. You would insert it into the right hand part of the equation to get 2 2 = 4. WebFree Function Transformation Calculator - describe function transformation to the parent function step-by-step. Make sure you are happy with the following topics before continuing. Loading Graph Transformations. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Meanwhile, in particular, there is only one real matrix representation for any linear geometric change. Download free on. The Math Calculator will evaluate your problem down to a final solution. Functions can get pretty complex and go through transformations, like reflections along the x- or y-axis, shifts, stretching and shrinking, making the usual graphing techniques difficult. Download free on iTunes. Download full solution. This introductory activity is designed to help students develop a better understanding of the relationship between the factors of a quadratic function and the x-intercepts of its related graph. I go over how to enter numbers in lists. Pre-Algebra. Then, step 3: However, in the new window, the Laplace transform of the supplied function will be presented. Both electronic and mechanical engineering benefit from them. Solve Now. Working out the vector transformation is equivalent to working out a function and involves some basic math. Free graphing calculator instantly graphs your math problems. WebExplore equations of transformed curves. Also, if a number is being added or subtracted inside parentheses, shift it left by that amount; if a number is being subtracted, move it right (opposite of what youd anticipate). Reflect Over X-Axis or Y-Axis 3. Use rectangular, polar, cylindrical, or spherical coordinates. Transformations are used to address many mathematical issues. Eg plot y = x 2 and y = x 2 + 3 on the same diagram, compare the graphs. "Graphing Calculator is one of the best examples of elegant power and clean user interface of any application I've seen." Two different options are possible: Perform a translation. Each Get Solution. Joseph Lagrange, who refined Eulers work and did additional study, was one of Eulers admirers. Loading Untitled Graph. WebInteractive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! In other words, if c > 1, then the graph is compressed. For example, consider the functions defined by \(g(x)=(x+3)^{2}\) and \(h(x)=(x3)^{2}\) and create the following tables: Here we add and subtract from the x-coordinates and then square the result. WebJust like Transformations in Geometry, we can move and resize the graphs of functions Let us start with a function, in this case it is f (x) = x2, but it could be anything: f (x) = x2 Here are some simple things we can do to move or scale it on the graph: We can move it up or down by adding a constant to the y-value: g (x) = x2 + C Step 1: Enter the expression you want to evaluate. Graph Transformations 2 ( AGG) Investigate the transformations of the graph y = f (x + a), and how this affects the graph of y = f (x). Meanwhile, the application of the Laplace transformation is the best approach to turn differential equations into algebraic equations. Download free on Amazon. How to move a function in y-direction? WebFree calculator for transforming functions How to transform the graph of a function? Example: y=2x+1 Example (Click to try) y=2x+1 How to graph your problem Graph your problem using the following steps: Type in your equation like y=2x+1 (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph! We move every point in the shape in the same direction and at the same distance. Pre-Algebra. Plot y = x 2 4, y = x 2 1. Then state the domain and range. Use "x" as the variable like this: Examples: sin (x) 2x3 cos (x^2) (x3) (x+3) Zooming and Re-centering As a result, we can only solve differential equations with proper constants using this method. Download free on iTunes. We obtained the Laplace transformation of f(t) as a result of this procedure, that we denote with F. (s). Sketch the graph of \(g ( x ) = - | x | + 3\). They aid in the analysis of variables that, when altered, create the intended results. Weba) V 1 = 4000 V, V 2 = 400 V, Transformer Rating = 50 kVA = V 1 I 1 = V 2 I 2. Just add the transformation you want to to. A non-rigid transformation58 changes the size and/or shape of the graph. If you dont have any exact constants in your equation, youll need to come up with another method. The diagram shows the graph of y=f (x) y = f (x) and a point on the graph P (2,5). If a positive constant is subtracted from a function, \(f(x) k\), the graph will shift down. \(\begin{array} { l } { y = - 2 | x | } \quad\quad\quad\quad\:\color{Cerulean}{Basic\: graph\: with\: dilation\: and\: reflection\: about\: the\: x-axis. However, the constants a and b are used in this equation. i.e., we now know the old x and y coordinates. We can return a general transformation calculator for rotations, reflections, and shears, or we can compute the transformation matrix for a specific 2D or 3D transformation activity. Use different colors to graph the family of graphs defined by \(y=kx^{2}\), where \(k \in \left\{ 1 , \frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 1 } { 4 } \right\}\). He didnt go very far with it, though, and he abandoned it. Calculator for Transformations: Definition of Laplace Transformation. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. WebFunction Grapher is a full featured Graphing Utility that supports graphing up to 5 functions together. To double-check your work, enter a handful of your coordinates into the parent function. However, in control system engineering, the Laplace transformation is extremely important. However, the function in the time domain is changed into a Laplace function in the frequency domain using the Laplace Transform method. Otherwise, the graph will be stretched vertically. 5.0. We can extend, rotate, invert graphs or any combination of these transformations. Step 3: Finally, the graph of the quadratic function will be displayed in the new window. WebIn this video, I show you how to transform graphs using the list feature on the TI-84 Plus CE graphing calculator. We named the Laplace transform after Pierre Simon Laplace, a French mathematician and astronomer. Also, a graph that is a shift, a reflection, and a vertical stretch of y = x 2 is shown in green. Graph Transformations 2 ( AGG) Investigate the transformations of the graph y = f (x + a), and how this affects the graph of y = f (x). It is obtained from the graph of f(x) = 0.5x3+1 by reflecting it in the y-axis. Surface Of Revolution Calculator < Math Calculators List > X And Y Intercepts Finder Calculator. Get started with the video on the right, then dive deeper with the resources below. Begin with the squaring function and then identify the transformations starting with any reflections. WebThe following steps make graphing transformations so easier. Step 1: Enter the expression you want to evaluate. Internet Activities. Laplace transformations are also important for process control. As a result, the preceding fact will assist us in calculating the inverse transform of the sum of transforms. Table 2.5.1. y = f (x). In general, this describes the horizontal translations; if \(h\) is any positive real number: Begin with a basic cubing function defined by \(f(x)=x^{3}\) and shift the graph \(4\) units to the right. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. by. Begin with the basic function defined by f(x) = x and shift the graph up 4 units. Step 3: Answer: y = f ( 2 x): Primary full-load current, I 1 = (50 1000 / 4000) = 12.5 A. The Math Calculator will evaluate your problem down to a final solution. Multiplying the values in the domain by \(1\) before applying the function, \(f(x)\), reflects the graph about the \(y\)-axis. WebFree calculator for transforming functions This is an exploration activity which utilizes Desmos.com, a free online graphing calculator, to allow students to explore the Get detailed step-by-step solutions Similarly, if a whole number coefficient is enclosed in parenthesis, multiply the x-values of all points by the inverse of (!) Begin by evaluating for some values of the independent variable \(x\). A vertical translation59 is a rigid transformation that shifts a graph up or down relative to the original graph. Experiments utilising heat are an example. Multiplying a function by a negative constant, \(f(x)\), reflects its graph in the \(x\)-axis. In general, transformations in y-direction are easier than transformations in x-direction, see below. 59A rigid transformation that shifts a graph up or down. Solution. Compare y = x 2 and y = x 2 + k where k is any integer, positive or negative. 5. However, the Laplace transform is defined as the expected value in both pure and applied probability theory. Welcome to the Desmos Graphing Calculator! example. There is a two-sided variation with the integral changing from to. \(\begin{array} { l } { y = \frac{1}{x} } \quad\quad\quad\quad\color{Cerulean}{Basic \:function} \\ { y = \frac{1}{x-5} } \quad\: \quad\:\:\:\color{Cerulean}{Horizontal \:shift \: left \:3 \:units} \\ { y = \frac{1}{x-5} +3 } \:\:\:\:\:\:\:\color{Cerulean}{Vertical \:shift \:down \:5 \:units} \end{array}\). Trigonometry. WebFree calculator for transforming functions This is an exploration activity which utilizes Desmos.com, a free online graphing calculator, to allow students to explore the Get detailed step-by-step solutions Vertical and Horizontal Stretches/Compressions 5. Graphing. We named the Laplace transform (or Laplace technique) after Pierre Simon De Laplace, a prominent French mathematician (1749-1827). \(y = \frac{1}{x}\); Shift right \(2\) units; domain: \((, 2) (2, )\); range: \((, 0) (0, )\), 23. Police Activity In Torrance Today, Articles G

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