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.