$\"\"$

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From the graph the vertex of the parabola is at $\"\"$ ,

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The parabola of the vertex is $\"\"$ , $\"\"$ , and k = 6.

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The point on the graph of the parabola $\"\"$ , $\"\"$ and y = 2.

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(Apply vertex form of the parabola equation: $\"\"$ )

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Now we can find a value. $\"\"$

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(Substitute $\"\"$ for h, 6 for k, $\"\"$ for x and 2 for y)

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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(Subtract 6 from each side)

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$\"\"$

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$\"\"$

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$\"\"$

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(Divide each side by 4)

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$\"\"$

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$\"\"$

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(Substitute $\"\"$ for a , $\"\"$ for h, and 6 for k in the formula)

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$\"\"$

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$\"\"$ \ \ $\"\"$

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The vertex form of the parabola equation is $\"\"$ .