$\"\"$

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The equation correspond to the graph is $\"\"$ .

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Observe the graph :

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The distance from the maximum to the minimum value of the function is $\"\"$

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Half of the distance from the maximum to the minimum value of the function is $\"\"$ .

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So the amplitude is $\"\"$ .

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Period $\"\"$

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Here the function completes one period on $\"\"$ .

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Substitute Period $\"\"$ in Period $\"\"$ .

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$\"\"$

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The midline appears at $\"\"$ , there is no vertical shift.

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Since the midline appears at $\"\"$ , the value of $\"\"$ is zero.

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Since there is no vertical shift, the value of $\"\"$ is zero.

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

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$\"\"$

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The equation correspond to the graph is $\"\"$ .

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$\"\"$

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The equation correspond to the graph is $\"\"$ .