$\"\"$

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Find the quadratic function $\"\"$ for the graph $\"\"$ .

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Graph $\"\"$ resembles a parabola with vertex at $\"\"$ .

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The standard equation of the parabola with vertex $\"\"$ is $\"\"$ .

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Substitute $\"\"$ in the standard equation of the parabola.

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$\"\"$

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The parabola pass through the point $\"\"$ .

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Substitute $\"\"$ in parabola equation.

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$\"\"$

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$\"\"$

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Now substitute $\"\"$ in $\"\"$ .

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$\"\"$

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The quadratic function of the graph $\"\"$ is $\"\"$ .

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$\"\"$

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Find the quadratic function $\"\"$ for the graph $\"\"$ .

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The standard form of the quadratic equation is $\"\"$ .

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Graph $\"\"$ passes through the points $\"\"$ , $\"\"$ and $\"\"$ .

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Substitute $\"\"$ in the quadratic equation.

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in the quadratic equation.

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$\"\"$

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$\"\"$ (1)

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Substitute $\"\"$ and $\"\"$ in the quadratic equation.

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$\"\"$

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$\"\"$ (2)

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Multiply equation (2) with 2.

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$\"\"$ (3)

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Add equation (1) and equation (3).

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$\"\"$

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Substitute $\"\"$ in equation (1).

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$\"\"$

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in the standard form of the quadratic equation.

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$\"\"$

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The quadratic function for graph $\"\"$ is $\"\"$ .

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$\"\"$

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The quadratic function for graph $\"\"$ is $\"\"$ .

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The quadratic function for graph $\"\"$ is $\"\"$ .