SOLUTION: Find the equation of a parabola with the vertex at (0,0) and the focus at (0,-1).

Question 754642: Find the equation of a parabola with the vertex at (0,0) and the focus at (0,-1).
Answer by DSMLMD(16) (Show Source): You can put this solution on YOUR website!
Vertex at (0,0) and focus at (0,-1)

vertex:
(h,k)
(0,0)

focus point:
(0,-1)
(0,p)

we get p = -1

so because the point of focus located in y-coordinate, so the parabola equation is:

(x^2 - h) = 4p(y - k)
(x^2 - 0) = 4(-1)(y - 0)
x^2 = -4y

The parabola equation is x^2 = -4y
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