Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x² = – 16y

The coefficient of y is negative, so the parabola opens downward. Comparing with the given equation x² = - 4ay, we find that a = 4. Thus the focus of the parabola is (0, - 4) and the equation of the directrix of the parabola is y = 4. Length of the Latus rectum LL' is 4a = 4 × 4 = 16.