$\"\"$

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The equation is $\"\"$ .

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(Subtract 12 from each side)

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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(Take out common factor)

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$\"\"$

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(Apply zero product property: If ab = 0 then a = 0 or b = 0)

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

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(Subtract 3 from each side)

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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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(Add 4 to each side)

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$\"\"$

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$\"\"$

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The solution set is $\"\"$ . $\"\"$

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(Apply axis of symmetry formula: $\"\"$ )

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Substitute values (a = 4, and $\"\"$ )

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Now we can find y-value, the x-coordinate of the vertex is 1.625.

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Substitute 1.625 in the equation of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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Draw a coordinate plane

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Draw the equation $\"\"$ .

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$\"graph$

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The vertex is at $\"\"$ . Graph the x-intercepts $\"\"$ and (4, 0) and the vertex is $\"\"$ , connecting them with a smooth curve. $\"\"$

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The solution set is $\"\"$ and graph of the equation is

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$\"graph$