$\"\"$

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The vertex is $\"\"$ , the axis of symmetry is $\"\"$ -axis and containing the point $\"\"$ .

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The axis of symmetry is $\"\"$ -axis then the parabola is horizontal and it passes the point $\"\"$

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since the parabola is opens right side.

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

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

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

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The focus 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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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The points are $\"\"$ 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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$\"\"$ .