The transformation of a function f(x)f(x) into a function g(x)g(x) is given by g(x) = Af(Bx + H) + K g(x) = Af(Bx + H) + K. where the constants • AA vertically scales the function. (negative A reflects the function about the x-axis.) • BB 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) = - 2· fx + 2) - 2 The function fx) 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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The transformation of a function f(x)f(x) into a function g(x)g(x) is given by g(x) = Af(Bx + H) + K
g(x)
— Af(Ba + н) + К.
where the constants
• AA vertically scales the function. (negative A reflects the function about the x-axis.)
• BB 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) = - 2 · f(x + 2) - 2
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
-б -5 -4 -3 -2
-7
6
-1
-2
-3
-4
-5
|-6+
Transcribed Image Text:The transformation of a function f(x)f(x) into a function g(x)g(x) is given by g(x) = Af(Bx + H) + K g(x) — Af(Ba + н) + К. where the constants • AA vertically scales the function. (negative A reflects the function about the x-axis.) • BB 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) = - 2 · f(x + 2) - 2 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 -б -5 -4 -3 -2 -7 6 -1 -2 -3 -4 -5 |-6+
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