$\"\"$

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The vertex is at $\"\"$ and the focus is at $\"\"$ .

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The vertex and focus of the parabola are lies on the vertical line $\"\"$ .

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The distance $\"\"$ from the vertex $\"\"$ to the focus $\"\"$ is $\"\"$ .

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Where $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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

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Substiute $\"\"$ in $\"\"$ .

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$\"\"$

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

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$\"\"$

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Find the points that define the latus rectum.

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Latus rectum is the line segment of a parabola perpendicular to axis which has both

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ends on the curve.

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Find the points that define the latus rectum, let $\"\"$ .

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$\"\"$

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$\"\"$

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

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

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The points $\"\"$ and $\"\"$ .

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The line $\"\"$ is the directrix.

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$\"\"$

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Graph :

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(1) Draw the coordinate plane.

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(2) Graph the parabola equation $\"\"$ .

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(3) Plot the vertex, focus, and the two points $\"\"$ and $\"\"$ .

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(4) Draw the directrix line.

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(5) Connect the plotted points with smooth curve.

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$\"\"$

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$\"\"$

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The parabola equation is $\"\"$ and points are $\"\"$ and $\"\"$ .

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$\"\"$ .