Find the equation of the parabola that satisfies the given conditions: Focus (0,–3); directrix y = 3

Since the focus (0, - 3) lies on the y-axis, the y-axis itself is the axis of the parabola. Hence the equation of the parabola is of the form, either x² = 4ay or x² = - 4ay. As the directrix is y = 3, the equation of the parabola is x² = -4 × 3ay = -12y or x² = -12y.