Find the equation of the parabola that satisfies the given conditions: Focus (6,0); directrix x = – 6

Since the focus (6, 0) lies on the x-axis, the x-axis itself is the axis of the parabola. Hence the equation of the parabola is of the form of either y² = 4ax or y² = - 4ax. Since the directrix is x = -6 and the focus is (6, 0) the parabola is to be form of y² = 4ax with
a = 6. Hence, the required equation is y² = 4(6)x = 24x.