$\"\"$

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The function is $\"\"$ .

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Write the function in complete square form.

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To change the expression $\"\"$ in to a perfect square trinomial add and subtract $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Now it is in the form of $\"\"$ .

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$\"\"$

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Graph $\"\"$ .

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From the properties of power functions the graph of $\"\"$ is always contains the points $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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Now the first translation is the graph of $\"\"$ shifting $\"\"$ unit to left.

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Graph $\"\"$ .

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$\"\"$

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$\"\"$

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Next translation is the graph of $\"\"$ compressed by $\"\"$ units.

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Graph $\"\"$ .

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$\"\"$

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$\"\"$

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Next translation is the graph of $\"\"$ shifting down by $\"\"$ unit.

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Graph $\"\"$ .

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$\"\"$

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$\"\"$

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Graph of the function $\"\"$ .

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$\"\"$