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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(x) into g(x) where the transformation is g(x) = The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.) 6- 5- 4- 3- -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2- -3- -4- -5- -6- Clear All Draw: Dot Line Segment

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(x) into g(x) where the transformation is g(x) = The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.) 6- 5- 4- 3- -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2- -3- -4- -5- -6- Clear All Draw: Dot Line Segment

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 14E
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The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(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(x) into g(x) where the transformation is g(#) = f(=) The function f (x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.) 6- 5- -6 -5 -4 -3 -2 -1 2 3 4 6 -2 -3 -4 -5 -6+ Clear All Draw: Dot Line Segment Question Help: Message nstructor
Transcribed Image Text:The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(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(x) into g(x) where the transformation is g(#) = f(=) The function f (x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.) 6- 5- -6 -5 -4 -3 -2 -1 2 3 4 6 -2 -3 -4 -5 -6+ Clear All Draw: Dot Line Segment Question Help: Message nstructor
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