1. Warm up If the graph above is y = sinx. Write a functions of each graph.

2. - Finding Amplitude, Period, Vertical shift and Phase Shift Chapter 5 Graphing Trigonometric Functions Language Objectives: We will graphing trignonometric functions by finding Amplitude, Period, Vertical shift and Phase Shift of the functions by complete worksheet 12B.

3. y = sin(x) y = sin(2x)

4. y = sin(Bx) B How B change the graph?

5. y = sin(Bx) B How B change the graph? Whatever value B is multiplied on the variable, you use this value to find the period of the trig function. How about y = tanBx ? What is the FORMULA ?

6. y = sin(Bx) B How B change the graph? Whatever value B is multiplied on the variable, you use this value to find the period of the trig function. How about y = tanBx ? What is the FORMULA ?

7. The period of the function

8. CONCLUSION BECAREFUL: -Tangent period is ∏. - To find the phase shift, the coefficient of x must be one. If it is not, then the coefficient must be factored out. A: amplitude is A B: period is (2π)/|B| C: phase shift (horizontal) is C D: vertical shift is D For example

9. State the amplitude, period, and phase shift for each function.

10. Write an equation of the cosine function with the following information:

11. Write an equation of the sine function with the following information:

12. Exit directions Do: By yourself complete the Worksheet 12B. Put: In box No. 3 Finish By: 10.40 When done do: Study for the Quiz tomorrow.