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) : = 3· 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.) 7 4 -7 -6 -5 -4 -3 -2 I 2 3 4 5 6 7 -2- -3-
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) : = 3· 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.) 7 4 -7 -6 -5 -4 -3 -2 I 2 3 4 5 6 7 -2- -3-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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(x) :
= 3· 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.)
구
4
-7 -6 -5 -4 -3 -2 -1
1 2 3
4 5 6
7
-2-
-3-
-4-
-5-
-6-
-7-
Clear All Draw: Dot
Line Segment
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