Transform f(x) into g(x) where the transformation is g(x) = 3 · f(x) + 1 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.
Transform f(x) into g(x) where the transformation is g(x) = 3 · f(x) + 1 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.
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:14:59 7
l LTE
A myopenmath.com
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)+1
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+
5-
3
3
4 5
-6 -5 -4 -3 -2
--
6
-3
-4
-5
-6-
Clear All Draw. Dot LIME Segment
2.
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