Final answer:
The correct equation for the parabola with a focus at (-3, 0) and directrix y = 3 is (x + 3)^2 = 12y.
Step-by-step explanation:
The equation of a parabola with a focus at (h, k) and a directrix with the equation y = p is given by the equation
(x - h)^2 = 4p(y - k)
In this case, the focus is at (-3, 0) and the directrix is y = 3. Therefore, we can substitute the values into the equation:
(x - (-3))^2 = 4(3)(y - 0)
Simplifying further will give us the equation of the parabola:
(x + 3)^2 = 12(y - 0)
Therefore, the correct equation for the given parabola is (x + 3)^2 = 12y.