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$\"\"$

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The function is $\"\"$ , where $\"\"$ is the acceleration, $\"\"$ is the initial velocity, and $\"\"$ is the initial position of the object.

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

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$\"\"$

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$\"\"$ .

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$\"\"$

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Complete the square to identify the transformations.

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Rewrite the function so that it is in the form $\"\"$ by completing the square.

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$\"\"$

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Change the expression $\"\"$ into a perfect square trinomial add $\"\"$ to each side of the equation.

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Parent function is $\"\"$ .

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The graph of $\"\"$ is obtained from the graph of $\"\"$ by translating $\"\"$ units to the left, expanded vertically $\"\"$ and translated $\"\"$ units down.

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Translated $\"\"$ units to the left, expanded vertically $\"\"$ units and translated $\"\"$ units down.