1. 7.4 Periodic Graphs & Phase Shifts Objectives:
State the period, amplitude, vertical shift, & phase shift given the function rule or graph of a sine or cosine function.
Use graphs to determine whether an equation could possibly be an identity.
Periodic Graphs & Phase Shifts
7.4

2. Example #1
Describe the graph of the function and sketch it on the interval [−2π, 2π].

3. Phase Shifts
Phase shifts are another name for horizontal translations. A negative phase shift translates the graph left, a positive phase shift translates it right.

4. Example #2a
Describe the graph of each function.

5. Example #2b
Describe the graph of each function.

6. Example #3
State the amplitude, period, and phase shift.

7. Combined Transformations

8. Example #4
Describe the graph and sketch it.

9. Example #5
Describe the graph and sketch it.

10. Example #6
Find a sine and cosine function whose graph looks like the graph shown.