Question 83306: find the equation of the parabola with its vertex at the point of orgin and the focal point F(0,2) Answer by dolly(163) (Show Source):
You can put this solution on YOUR website! Given the vertex is (0,0) and the focus is (0,2)
Now d = distance between the focus and the vertex
= sqrt (0^2 + 2^2)
= sqrt(4)
= 2
So a = 1/4d
= 1/8
Vertex (h.k) = (0,0)
So equation of the parabola is y = a(x-h)^2 + k
= 1/8 [x-0]^2 + 0
= 1/8 [x^2]
Thus the required equation is x^2 = 8y
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