
### Instruction: help me answer this question Find the equation of the parabola that satisfies the given conditions: Focus (0,-3); directrix y = 3, think step by step
### Assistant: The focus lies on the y-axis, so the equation of the parabola is either of the form x^2 = 4ay or x^2 = -4ay. The directrix, y = 3, is above the x-axis, and the focus (0,-3) is below the x-axis. Hence, the parabola is of the form x^2 = -4ay. Here, a = 3. , The answer is x^2 = -12y.
