1. Objective: Graphs of sine and cosine functions with translations.
Warm up Graph two periods. Identify the amplitude and period.

2. 1

3. 1

4. 1

5. y = a sin (bx+c) + d y = a cos (bx + c) + d
Amplitude: |a| Period:
Phase Shift (Horizontal translation): bx + c = 0 ;
Example 1
Find amplitude, period, phase shift and graph. a.

6. b.

7. c.

8. Example 2 Use the graph of to obtain the graph of .

9. Classwork Pg 533 # 18, 22, 48, 50, 56,57. Pg 547 #40, 42