The graph below of g(x) is a transformation of the graph of f(x) = cos(x). The graph does not have a reflection. g(x) Dne Smi4 11me 32 13m/a 7m/4 15n/ 2 17n/89 3m4 7n8 (a) what is the period of g(x)? (b) what is the amplitude of g(x)? (c) what is the phase shift of g(x)? (d) what is the equation of the midline of g(x)? (e) what are five key points for one period of g(x)? (등) (플) (플글) (플') (플) (-) (-)) (-) (-) 5T 3 2 37 117 11T 157 -1 -1 -1 8. -1 -1 (-) ( -) ( - ) ( -) (# -÷) 137 177 (f) What is the equation of g(x)?

The graph below of g(x) is a transformation of the graph of f(x) = cos(x). The graph does not have a reflection. g(x) Dne Smi4 11me 32 13m/a 7m/4 15n/ 2 17n/89 3m4 7n8 (a) what is the period of g(x)? (b) what is the amplitude of g(x)? (c) what is the phase shift of g(x)? (d) what is the equation of the midline of g(x)? (e) what are five key points for one period of g(x)? (등) (플) (플글) (플') (플) (-) (-)) (-) (-) 5T 3 2 37 117 11T 157 -1 -1 -1 8. -1 -1 (-) ( -) ( - ) ( -) (# -÷) 137 177 (f) What is the equation of g(x)?

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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Question

The graph below of g(x) is a transformation of the graph of f(x) = cos(x). The graph does not have a reflection.
g(x)
3m/8
T/2
3m/4
7n/8
9ri/8
5m/4
11m/8 3m/2
13n/8 7m/4
15n/8
17n/89
(a) What is the period of g(x)?
(b) What is the amplitude of g(x)?
(c) what is the phase shift of g(x)?
(d) what is the equation of the midline of g(x)?
(e) what are five key points for one period of g(x)?
( ) ()) (# )
5T 3
1
1
-, 1
2
2
11t
-1
8.
2
2
2
11
15T
-1
,-1
-1
-1
-1
8
3
1
-1
-, -1
8.
2
2
1
137
3
17T
8
2
8
8
2
(f) what is the equation of g(x)?
alx) =

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