Warm up

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

- 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.

y = sin(x)

y = sin(2x)

y = sin(Bx)

How BB change the graph?

y = sin(Bx)

How BB 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 ?

y = sin(Bx)

How BB 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 ?

The period of the function

CONCLUSION

BECAREFUL: BECAREFUL: -Tangent period is ∏ .- To find the phase shift, the coefficient of x must be one. If it is not, then thecoefficient 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

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

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

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

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.