find the equation of the parabola with the vertex (0,0), and its focus the center of the circle with the equation: x^2 -8x +y^2 +15 = 0
fixed up:
X^2 -8x = -Y^2 - 15/
completing the squar: -8/2 = -4^2 = 16
X^2 -8x +16 = -1(y - 15+16)
(x-4)^2 = -1 (y-1)
so that means the center is 4,1 right? but how can i figure the rest. this is all i got from my notes.

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Now that I look at the problem, i dont even think I did it right

let me see if i can work it to a equation with....\[(x-h)^{2} = 4p(y-k) \right?\]

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