The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K.where the constantsA vertically scales the function. (negative A reflects the function about the x-axis.)•B horizontally scales the function. (negative B reflects the function about the y-axis.)•H horizontally shifts the function.•K vertically shifts the function.Transform f(¤) into g(x) where the transformation is g(x) = 2· f(x)The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each endpoint of the new transformed function and then click on the "line segment" button and connect the two bluedots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.)-6 -5 -4 -3 -2I 2 3 4 5 6-2-3DotLine SegmentClear All Draw:

The given transformation is g(x)=2·f(x) Compare the given transformation with…

The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants A vertically scales the function. (negative A reflects the function about the x-axis.) B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(æ) into g(x) where the transformation is g(x) = 2· f(x) %3D

The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants A vertically scales the function. (negative A reflects the function about the x-axis.) B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(æ) into g(x) where the transformation is g(x) = 2· f(x) %3D

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section: Chapter Questions

Problem 8PT: For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 8. Graph the...

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