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
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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) =
Transcribed Image Text: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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