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.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The transformation of a function f(x) into a function g(x) is given by g()
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(æ) 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-
4-
-6 -5 -4 -3 -2 -1
-2
-4
-5-
Clear All Draw: Dot
Line Segment
Question Help: D Post to forum
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Transcribed Image Text:The transformation of a function f(x) into a function g(x) is given by g() 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(æ) 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- 4- -6 -5 -4 -3 -2 -1 -2 -4 -5- Clear All Draw: Dot Line Segment Question Help: D Post to forum Submit Question
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