Section 5 - Graphing sin and cos transformations
Trig/Precalc - CLARK
ID: 1
Name___________________________________
Graphing sin and cos transformations
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Graph each function. What is the amplitude? What is the period?
Date________________ Period____
1) y = 2cos
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
2)
y
=
1 cos
2
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
3) y = 4sin
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
4)
y
=
1 sin
2
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
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-1-
Worksheet by Kuta Software LLC
5) y = cos 3
6 5 4 3 2 1
3
2
-1
2
2
-2
-3
-4
-5
-6
6) y = cos 4
6 5 4 3 2 1
3
2
-1
2
2
-2
-3
-4
-5
-6
7) y = cos 2
6 5 4 3 2 1
2 3 4 5 6 -1 -2 -3 -4 -5 -6
8) y = sin 2
6 5 4 3 2 1
2 3 4 5 6 -1 -2 -3 -4 -5 -6
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-2-
Worksheet by Kuta Software LLC
9) y = 1 + cos
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
10) y = sin - 1
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
11) y = sin + 2
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
12) y = -2 + cos
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
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-3-
Worksheet by Kuta Software LLC
( ) 13) y = sin - 2 3
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
( ) 14) y = cos + 3 4
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
( ) 15) y = cos - 2
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
( ) 16) y = sin + 7 6
6 5 4 3 2 1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
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-4-
Worksheet by Kuta Software LLC
Trig/Precalc - CLARK
ID: 1
Name___________________________________
Graphing sin and cos transformations
?f d2G0B1z3o 2KauntnaU xSuo8fxtkwEaVr0eo aLKLRCo.Z f XAylslV VrmiqgXhhtmsW 6rJePsee1rHvCeud5.h
Graph each function. What is the amplitude? What is the period?
Date________________ Period____
1) y = 2cos
Amplitude: 2
6
Period: 2
5
4
3
2
1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
2)
y
=
1 cos
2
Amplitude: 1
2
6
Period: 2
5
4
3
2
1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
3) y = 4sin
Amplitude: 4
6
Period: 2
5
4
3
2
1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
4)
y
=
1 sin
2
Amplitude: 1
2
6
Period: 2
5
4
3
2
1
3 2 5 3
-1
2
2
2
-2
-3
-4
-5
-6
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-1-
Worksheet by Kuta Software LLC
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