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

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Presentation transcript:

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) B How B change the graph?

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 ?

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 ?

The period of the function

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

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: When done do: Study for the Quiz tomorrow.