vhere 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(a) where the transformation is g(x) = f(x -3) – 1 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: Transform the function by applying the constants in this order: H, B, A, K.) -6 -5 -4 -3 -2 -1 3 4 -2 -3 -4 -5- -6- Clear All Draw: Dot Line Segment

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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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 Breflects 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(æ) = f(x – 3) – 1
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: Transform the function by applying the constants in this order: H, B, A, K.)
4
2
-6 -5 -4 -3 -2 -1
-1
I 2 3 4 5 6
-2
-3-
-4
-5-
Clear All Draw: Dot
Line Segment
3.
Transcribed Image Text: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 Breflects 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(æ) = f(x – 3) – 1 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: Transform the function by applying the constants in this order: H, B, A, K.) 4 2 -6 -5 -4 -3 -2 -1 -1 I 2 3 4 5 6 -2 -3- -4 -5- Clear All Draw: Dot Line Segment 3.
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