( )x ( )x ( )x

Precalculus
Unit 4 – Worksheet 2 – Graphs of Sinusoidal Functions
Name: _________________________________________________________________________________
Find the midline, amplitude, minimum, maximum, and the period, and sketch the graph.
1.
f x   6  3cos2 x 
4.
f x   1 5 cos3x 
y
y
x
2.
 x
f x   5  2 sin 
2
x
5.
 x
f x   2  7 cos 
3
y
y
x
3.
 x
f x   3  4 sin 
4
x
6.
f x   6  sin4 x 
y
y
x
x
Precalculus
Unit 4 – Worksheet 2 – Graphs of Sinusoidal Functions
Name: _________________________________________________________________________________
Find an equation of the graph.
7.
10.
y
y


x









x













8.
11.
y
y


x
 



x
 













9.
12.
y
y


x











x
  










Precalculus
Unit 4 – Worksheet 2 – Graphs of Sinusoidal Functions
Name: _________________________________________________________________________________
Find the midline, amplitude, minimum, maximum, and the period, and sketch the graph.
13. f x   2  4 cosx 
15. f x   7 cos3x 
y
y
x
 x
14. f x   5  3 sin 
2
x
 x
16. f x   4  2 sin 
3
y
y
x
x
Find an equation of the graph.
17.
19.
y
y


x


x





18.



20.
y
y


x



x



Precalculus
Unit 4 – Worksheet 2 – Graphs of Sinusoidal Functions
Name: _________________________________________________________________________________
Find the midline, amplitude, minimum, maximum, and the period, and sketch the graph.
 x
23. f x   5  4 cos 
3
 x
21. f x   2  5 sin 
4
y
y
x
22. f x   1 8 cos2 x 
x
24. f x   4  3sinx 
y
y
x
x
Find an equation of the graph.
25.
27.
y
y


x

x




26.



28.
y
y


x





x




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