
### Instruction: help me answer this question x2 = -16y, think step by step
### Assistant: Since the coefficient of y is negative, the parabola opens downwards. On comparing the given equation with x2 = -4ay, we get -4a = -16, which gives a = 4. Thus, the coordinates of the focus are (0, a) = (0, -4), and the equation of directrix is y = a, which gives y = 4. The length of the latus rectum is 4a = 16. , The answer is The coordinates of the focus are (0, -4), the axis of the parabola is the y-axis, the equation of the directrix is y = 4, and the length of the latus rectum is 16.
