Answer:
y = (1/12)x^2
Step-by-step explanation:
The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).
The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus. Here that distance is p = 3.
Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.
Have a good day!
-Millie
