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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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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