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(z) = 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+ 3.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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(æ) = 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.)
4
-6 -5 -4 -3 -2 -1
2
3
4
5 6
-2
-3
-4
-5
-6+
Clear All Draw: Dot
Line Segment
Question Help: MEsagt mbuructur
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 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(æ) = 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.) 4 -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -3 -4 -5 -6+ Clear All Draw: Dot Line Segment Question Help: MEsagt mbuructur
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