Zhokr4issele Zhokr4issele

18-08-2016
Mathematics

contestada

find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.

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nobillionaireNobley nobillionaireNobley

26-08-2016

From the given information, the parabola is a regular parabola facing up with vertex at the origin.
Required equation is (x - 0)^2 = 4p(y - 0)

But 0 + p = 6 => p = 6

Therefore, required equation is x^2 = 4(6)y
x^2 = 24y
y = 1/24 x^2

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