Find the Parabola with Focus (3,-7) and Directrix y=-4 (3,-7) y=-4

Math
Since the directrix is vertical, use the equation of a parabola that opens up or down.
Find the vertex.
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The vertex is halfway between the directrix and focus. Find the coordinate of the vertex using the formula . The coordinate will be the same as the coordinate of the focus.
Simplify the vertex.
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Subtract from .
Move the negative in front of the fraction.
Find the distance from the focus to the vertex.
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The distance from the focus to the vertex and from the vertex to the directrix is . Subtract the coordinate of the vertex from the coordinate of the focus to find .
Simplify.
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To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Move the negative in front of the fraction.
Substitute in the known values for the variables into the equation .
Simplify.
Find the Parabola with Focus (3,-7) and Directrix y=-4 (3,-7) y=-4


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