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
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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.
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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