What is the standard form of the equation of the parabola with a directrix at x=7 and a focus at (12,-15)?

1 Answer
Binayaka C.
Mar 5, 2016

Equation of Parabola is #x=1/10*(y+15)^2+9.5#

Explanation:

Vertex is at mid-point between vertex and directrix. So vertex is at # (9.5, -15)# The equation of Parabola is # x = a*(y+15)^2+9.5# now #a= 1/(4*d)# where d is distance between vertex and focus #:. a =1/(4*2.5) or a=1/10# So Equation of Parabola is #x=1/10*(y+15)^2+9.5# graph{x=1/10*(y+15)^2+9.5 [-80, 80, -40, 40]} [Answer]

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