$\"\"$

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Observe the graph :

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The graph of the poarabola is vertically opens upward ,so the general form of the parabola equation is $\"\"$ .

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From the graph the vertex of the parabola is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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The parabola opens upward .so the value of $\"\"$ is positive.

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Consider the point $\"\"$ on the parabola.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore, the equation of the parabola is $\"\"$ .

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$\"\"$

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

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The focus of the parabola is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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The focus of the parabola is $\"\"$ .

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The directrix of the parabola is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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The directrix of the parabola is $\"\"$ .

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$\"\"$

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

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The focus of the parabola is $\"\"$ .

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The directrix of the parabola is $\"\"$ .