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

User Julina
by
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1 Answer

4 votes
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
User Manoel Vilela
by
8.4k points
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