Translations of Sine and Cosine Functions

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Presentation transcript:

Translations of Sine and Cosine Functions 6-5 Translations of Sine and Cosine Functions

Objectives Find the phase shift and the vertical translation for the sine and cosine functions. Write the equations of sine and cosine functions given the amplitude, period, phase shift, and vertical translation.

Warm-Up

Warm Up - Solutions

Phase Shift You have done this before!!! Phase shift is a slide Horizontal Shift – LEFT or RIGHT – Inside Vertical Shift – UP or DOWN - Outside

Example 1

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Example 2

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Example 3

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Example 4

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Assignments Classwork – pg. 383 #1-11 Homework – pg. 384 #14-33