Graphs of Trigonometric Functions

Recognizing Trigonometric Graphs

The above graph is $y=a \sin bx+c$ with $a > 0$ and $b > 0.$ What is the value of $3a+2b+5c ?$

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Which of the following trigonometric functions corresponds to the above graph?

y=\sin (-x)+1

y=\cos x+2

y=\cos x+5

y=\sin x-3

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The above graph is $y=a \cos (bx+c)$ with $a > 0,$ $b > 0$ and $-\pi < c < \pi.$ What is the value of $4a+3b+6c ?$

14-3\pi

8-6\pi

7-3\pi

5+6\pi

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Which of the following functions corresponds to the above graph?

y=3\sin 4x

y=\sin \frac{x}{2}

y=\cos \frac{x}{2}

y=\cos 2x

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If the above is the graph of $y= \tan ax$ with $a > 0,$ what is the value of $16a ?$

16 8 32 24

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