Day1 Day 2 ws

Verse: Name: _________________________ Date: ________

Per: ______

Period & Phase Shift

Match the graph to the function

1. sin(x-π/2) a. b.

2. cos(x+π/2)

3. -cos(x-π/2) c. d.

4. -sin(x-π/2)

Sketch one cycle for the graph of each function and state the amplitude, period, and phase shift

for each function.

5. y = cos(x + π)

6. y = cos(3x)

7. y = sin(2x - π)

8. y= sin(3x + π /2)

Verse: Name: _________________________ Date: ________

Per: ______

State the period and phase shift for each function.

9. y = sin(2x – π) 10. y = cos (x/3 + π/4)

Find the period of the function and explain how the graph will be transformed compared to the

parent function of y = cos(x).

11. y = cos (x/5) 12. y = cos (-7x)

Write an equation given the following information.

13. Sine function with a period of π

shifted to the left π/2

14. Cosine function shifted to the right π/8 with a period of π/4

State the period for each sine function and write the equation of the function.

15. 16.