$\"\"$

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The graphs of $\"\"$ and $\"\"$ , where $\"\"$ will have the following characteristics :

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Amplitude : $\"\"$ .

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Period : $\"\"$ .

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Horizontal translation : $\"\"$ .

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Vertical translation : $\"\"$ .

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$\"\"$

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The trigonometric function is $\"\"$ .

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Rewrite the equation as $\"\"$ .

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Compare the function with $\"\"$ .

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$\"\"$ , and $\"\"$ .

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Amplitude : $\"\"$ .

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Period : $\"\"$ .

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Horizontal translation : $\"\"$ .

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Vertical translation : $\"\"$ .

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To verify the period and horizontal shift, sketch the graph by one cycle.

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One cycle : $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Draw a coordinate plane.

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Graph the function $\"\"$ .

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Graph :

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$\"graph$

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$\"\"$

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The graph of the function $\"\"$ is : \ \

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$\"graph$