$\"\"$

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The equation is $\"\"$ .

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Complete the squares. \ \

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$\"\"$

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$\"\"$

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$\"\"$ .

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Compare equation with standard form of parabola equation $\"\"$ and write the coefficients.

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$\"\"$ , $\"\"$ and $\"\"$

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

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Vertex is $\"\"$ .

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Focus $\"\"$ is at $\"\"$ and directrix the line $\"\"$ .

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Latus rectum is the line segment of a parabola perpendicular to axis which has both ends on the curve.

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Obtain the points define the latus rectum, consider the $\"\"$ coordinate of focus as $\"\"$ .

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$\"\"$

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$\"\"$ or $\"\"$

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$\"\"$ or $\"\"$

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$\"\"$ or $\"\"$ .

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The latus rectum points $\"\"$ and $\"\"$ .

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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 $\"\"$ .

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The latus rectum points $\"\"$ and $\"\"$ .

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Graph of the parabola is

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$\"\"$ .