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The function is $\"\"$ .

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Expanded vertically, by a factor of $\"\"$ .

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The translation is vertical.

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The graph of $\"\"$ expanded vertically, by a factor of $\"\"$ .

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$\"\"$

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Then the function is $\"\"$ .

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Translated $\"\"$ units to the left.

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The translation is horizontal translation.

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The graph of $\"\"$ is the graph of $\"\"$ translated.

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$\"\"$ units right when $\"\"$ , and $\"\"$ units left when $\"\"$ .

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Here $\"\"$ .

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$\"\"$

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Then the function is $\"\"$ .

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Translated $\"\"$ units up.

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The translation is vertical translation.

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The graph of $\"\"$ is the graph of $\"\"$ translated.

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$\"\"$ units up when $\"\"$ , and $\"\"$ units down when $\"\"$ .

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Here $\"\"$ .

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$\"\"$ .

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Graph the function $\"\"$ :

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$\"\"$

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The function is $\"\"$ .

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The graph of the function is,

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$\"\"$ .