SOLUTION: Find the focus and directrix of the parabola x^2=12y

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Question 1187916: Find the focus and directrix of the parabola x^2=12y
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The standard form is %28x+-+h%29%5E2+=+4p+%28y+-+k%29, where the focus is (h, k+%2B+p) and the directrix is y+=+k+-+p.
given:
x%5E2=12y...in the standard form will be
%28x-0%29%5E2=12%28y-0%29 ...=>4p=12=>p=3, h=0,k=0
the focus is (0, 0+%2B+3) =>(0, 3)
the directrix is y+=+k+-+p+=>y+=+0+-+3+=>y+=++-+3+