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Question 12 > 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) - f(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 I 2 3 4 5 6 -2 -3 -4 -5 -6+ Clear All Draw: Dot Line Segment

Question 12 > 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) - f(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 I 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
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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Question 12 > 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) = – f (x) The function f (x) is shown below in red. Graph the transformed function g(æ) 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 2 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 -2 -3 -4 -5 -6- Clear All Draw: Dot Line Segment 3.
Transcribed Image Text:Question 12 > 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) = – f (x) The function f (x) is shown below in red. Graph the transformed function g(æ) 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 2 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 -2 -3 -4 -5 -6- Clear All Draw: Dot Line Segment 3.
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