O Question 17 <> 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 2) 3 %3D 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 3. -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -4- -5 -6 Line Segment Clear All Draw: Dot 2.
O Question 17 <> 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 2) 3 %3D 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 3. -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -4- -5 -6 Line Segment Clear All Draw: Dot 2.
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:Question 17
<>
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 2) - 3
%3D
|
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+
-6 -5 -4 -3 -2 -1
I 2 3 4 5 6
-2
-3
-4
-5
Clear All Draw: Dot
Line Segment
3.
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