$\"\"$

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The focus is at $\"\"$ .

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Directrix of the line is $\"\"$ .

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Since the directrix of the line is $\"\"$ then the parabola is horizontal.

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Standard form of the horizontal parabola is $\"\"$ .

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Where $\"image\"$ is vertex.

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If $\"\"$ then the parabola opens to the left and $\"\"$ parabola opens to the right.

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Directrix is $\"\"$ and focus at $\"\"$ .

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$\"\"$

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Focus $\"\"$ .

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

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Directrix $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ .

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

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Substitute $\"\"$ and $\"\"$ 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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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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The parabola equation is $\"\"$ .

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Obtain the points define the latus rectum is $\"\"$ .

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

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$\"\"$

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$\"\"$

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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 $\"\"$ determine the latus rectum.

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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 the two points are $\"\"$ and $\"\"$ .

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$\"\"$ .