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.