In each of the, find the equation of the parabola that satisfies the given conditions:
Focus (6,0); directrix x = – 6
Focus (6,0); directrix x = -6
Since, the focus lies on the x–axis is the axis of the parabola.
Thus,
The equation of the parabola is either of the form y2 = 4ax or y2 = -4ax.
It is also seen that the directrix, x = -6 is to the left of the y- axis, while the focus (6, 0) is to the right of the y –axis.
Hence, the parabola is of the form y2 = 4ax.
Here, a = 6
Thus, the equation of the parabola is y2 = 24x.