Algebra 2
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Using radians, find the amplitude and period of each function. Then graph.
1) y =
2) y = 4cos q
1
× sin q
2
6
5
6
4
5
3
4
2
3
1
2
1
p
2
-1
p
2
-1
p
3p
2
2p
5p
2
p
3p
2
2p
5p
2
3p
-2
3p
-3
-2
-4
-3
-5
-4
-6
-5
-6
3) y = sin 2q
4) y = cos
q
3
6
5
6
4
5
3
4
2
3
1
p
- -1
4
-2
2
p
4
p
2
3p
4
p
5p 3p 7p 2p
4
2
4
1
p
2p
3p
4p
5p
6p
7p
8p
9p
-1
-3
-2
-4
-3
-5
-4
-6
-5
-6
Worksheet by Kuta Software LLC
-1-
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5) y =
6) y = 3sin 2q + 1
1
q
× cos - 2
2
4
6
5
6
4
5
3
4
2
3
1
2
-
1
p 2p 3p 4p 5p 6p 7p 8p 9p 10p 11p 12p
p
4 -1
-2
-1
-3
-2
-4
-3
-5
-4
-6
p
4
p
2
3p
4
p
5p 3p 7p 2p
4
2
4
-5
-6
7) y = cos q + 2
8) y =
1
q
× cos
2
2
6
5
4
6
3
5
2
4
1
3
2
p
2
-1
p
3p
2
2p
5p
2
3p
1
-2
p
-3
-1
-4
-2
-5
-3
-6
-4
2p
3p
4p
5p
6p
-5
-6
9) y = 4cos 4q + 1
10) y =
1
× cos 3q + 1
2
6
5
4
6
3
5
2
4
1
3
2
-
p
4 -1
-2
p
4
p
2
3p
4
p
5p 3p 7p 2p
4
2
4
1
-4
p
4 -1
-2
-5
-3
-6
-4
-
-3
p
4
p
2
3p
4
p
5p 3p 7p 2p
4
2
4
-5
-6
Worksheet by Kuta Software LLC
-2-
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Answers to Assignment (ID: 1)
1)
2)
Amplitude:
6
1
2
Amplitude: 4
Period: 2p
6
Period: 2p
4
4
2
2
p
p
2p
2p
3p
3p
-2
-2
-4
-4
-6
-6
3)
4)
Amplitude: 1
Period: p
6
4
4
2
2
p
2
-2
p
3p
2
Amplitude: 1
Period: 6p
6
2p
2p
4p
6p
8p
-2
-4
-4
-6
-6
5)
6)
1
Amplitude:
2
Period: 8p
6
Amplitude: 3
Period: p
6
4
4
2
2
2p
4p
6p
p
2
8p 10p 12p
-2
p
3p
2
2p
-2
-4
-4
-6
-6
7)
8)
Amplitude: 1
Period: 2p
6
Amplitude:
6
1
2
Period: 4p
4
4
2
2
p
2p
3p
p
2p
3p
4p
5p
6p
-2
-2
-4
-4
-6
-6
9)
10)
Amplitude: 4
p
Period:
2
6
Amplitude:
6
Period:
4
4
1
2
2p
3
2
2
-2
p
2
p
3p
2
2p
-2
p
2
p
3p
2
2p
-4
-4
-6
-6
Worksheet by Kuta Software LLC
-3-
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