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The function is $\"\"$ .

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$\"\"$

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Completing square method:

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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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Graph the function using the technique of shifting.

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The function is $\"\"$ .

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Basic function is $\"\"$ .

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There are three stages obtain the graph of $\"\"$ from basic function $\"\"$ .

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Shift 1: From $\"\"$ to $\"\"$ .

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$\"\"$ , shift the graph of $\"\"$ $\"\"$ units to the left.

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Replace $\"\"$ by $\"\"$ .

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The points $\"\"$ are on $\"\"$ .

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Therefore, $\"\"$ are on $\"\"$ .

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$\"\"$

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Shift 2: From $\"\"$ to $\"\"$ .

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The graph of $\"\"$ is obtained from $\"\"$ , multiplying each $\"\"$ -coordinate of $\"\"$ by $\"\"$ .

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The points $\"\"$ are on $\"\"$ .

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Therefore, $\"\"$ are on $\"\"$ .

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$\"\"$

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Shift 3: From $\"\"$ to $\"\"$ .

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$\"\"$ , shift the graph of $\"\"$ $\"\"$ units down.

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Replace $\"\"$ by $\"\"$ .

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The points $\"\"$ are on $\"\"$ .

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Therefore, $\"\"$ are on $\"\"$ .

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$\"\"$

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The function is $\"\"$ .

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Graph of $\"\"$ :

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$\"\"$ .