Pre cal 5

VERSE: Name:

Date:

Period:

4.4 Sinusoidal Waves Worksheet

Graph one period of each function.

1. y = -sin (x + π/2)

2. y = cos ½ x + 1

3. y = sin 3(x – π)

4. y = 2 – 3 cos (3x – π/2)

Describe the transformations performed to the following equations.

5. Y = 1 – cos(2x)

6. Y = 2 sin(πx – 1)

Find an equation that corresponds to the graph.

7. 8.

Write the equations of the sinusoids shown in terms of a cosine function.

9. 10.

11. Write the equation of the sine graph with a phase shift of 6

 to the left, a period of

2

 , an amplitude

of 2

3 , and a vertical shift down of 3.