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

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