1. Sullivan Precalculus: Section 5.6 Phase Shift; Sinusoidal Curve Fitting Objectives of this Section Determine the Phase Shift of a Sinusoidal Function Graph Sinusoidal Functions: y = sin(wx - c) Find a Sinusoidal Function from Data

2. or

4. (0,0)

5. 1 2 3

6. The data on the following slide represent the average monthly temperature in Houston, Texas. (a) Draw a scatter diagram of the data treating month as the independent variable. (b) Find a sinusoidal function that fits the data. (c) Graph the function found in (b) on your scatter diagram. (d) Find the sinusoidal function of best fit. (e) Graph the function found in (d) on the scatter diagram.

7. MonthAverage Temp ( o F)

8. Month Temperature

9. We will find a sinusoidal function of the form STEP 1: Determine the amplitude, A.

10. STEP 2: Determine the vertical shift, B. Vertical Shift

11. STEP 3:

12. STEP 4: Determine the horizontal shift.