Question

Find the equation for a parabola with its focus at (0, 3) and a directrix of y = -3.

Answer 1

The equation of the parabola is $y=\frac{1}{24} x^2+3$

None of the given options is correct

Given:

Focus: (0, 3)

Directrix: y = -3

Note that:

f - k = k - (-3)

f - 3 = 3 + 3

f = 6 + 3

f = 9

The equation of the parabola is of the form:

$y=\frac{1}{4(f-k)} (x-h)^2+k$

Substitute f = 9, k = 3, h = 0 into the equation

$y=\frac{1}{24} (x-0)^2+3\\\\y=\frac{1}{24}x^2+3$

The equation of the parabola is $y=\frac{1}{24} x^2+3$

Learn more on equation of a parabola here: brainly.com/question/4061870

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