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The function is $\"\"$ .

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The parent function is $\"\"$ .

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There are two translations.

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Translation 1:

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From $\"\"$ to $\"\"$ .

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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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To obtain the graph of $\"\"$ from parent function $\"\"$ , translate the graph of $\"\"$ $\"\"$ units to the right.

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Translation 2:

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From $\"\"$ to $\"\"$ .

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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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To obtain the graph of $\"\"$ from the function $\"\"$ , translate the graph $\"\"$ units to the up.

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Graph:

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$\"\"$

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Graph:

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$\"\"$ .