Which is the equation of a parabola with a directrix at y = −3 and a focus at (−2, 3

Step-by-step explanation:

The vertex form of a parabola is: y = a(x - h)² + k    where

NOTE: p is the distance from the vertex to the focus.

The vertex is the midpoint between the focus and the directrix, so the vertex (h, k) = (-2, 0)

the distance from the vertex (-2, 0) to the focus (-2, 3) is 3 so p = 3

Insert (h. k) = (-2, 0) and a = 1/12 into vertex form to get:

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