In each of the, find the equation of the parabola that satisfies the given conditions:
Focus (0,–3); directrix y = 3
Focus (0, -3); directrix y = 3
Since, the focus lies on the y–axis, the y-axis is the axis of the parabola.
Thus,
The equation of the parabola is either of the form x2 = 4ay or x2 = -4ay.
It is also seen that the directrix, y = 3 is above the x- axis, while the focus (0,-3) is below the x-axis.
Hence, the parabola is of the form x2 = -4ay.
Here, a = 3
Thus, the equation of the parabola is x2 = -12y.