Objective: Graphs of sine and cosine functions with translations.

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Presentation transcript:

Objective: Graphs of sine and cosine functions with translations. Warm up Graph two periods. Identify the amplitude and period.

1

1

1

y = a sin (bx+c) + d y = a cos (bx + c) + d Amplitude: |a| Period: Phase Shift (Horizontal translation): bx + c = 0 ; Example 1 Find amplitude, period, phase shift and graph. a.

b.

c.

Example 2 Use the graph of to obtain the graph of .

Classwork Pg 533 # 18, 22, 48, 50, 56,57. Pg 547 #40, 42