$\"\"$

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The general form of parabola equation is $\"\"$ .

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The maximum height of parabola is $\"\"$ and the span is $\"\"$ .

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Therefore the vertex is $\"\"$ .

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And the $\"\"$ -intercept are $\"\"$ and $\"\"$ .

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Substitue $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ , hence $\"\"$ .

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Substitue $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitue $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Multiply $\"\"$ by $\"\"$ and substract from $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Substitue $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The equation of parabola is $\"\"$ .

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$\"\"$

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Find the height of the arc when $\"\"$ from center , ie. $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ from center , ie. $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ from center , ie. $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Graph:

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Graph of $\"\"$ is:

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$\"\"$

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Observe the graph:

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The vertex is $\"\"$ .

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The $\"\"$ -intercept is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$