Which equation represents a parabola that has a focus of (0, 0) and a directrix of y=−6 ?

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asked Dec 15, 2018 144k views

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Manoel Vilela · Answer 1 · 2018-12-19T14:25:48+0000

take any point (x,y) on the line
distance between (x,y) and the focus = distance from the point to the directrix
s sqrt(x^2 + y^2) = |x - (-6)|

x^2 + y^2 = x^2 + 12x + 36
y^2 = 12x + 36

that is the required equation

Which equation represents a parabola that has a focus of (0, 0) and a directrix of y=−6 ?

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