# Find the Parabola with Focus (6,2) and Directrix y=1 (6,2) y=1 Since the directrix is vertical, use the equation of a parabola that opens up or down.
Find the vertex.
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.
Find the distance from the focus to the vertex.
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.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Substitute in the known values for the variables into the equation .
Simplify.
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