Find the equation of the parabola with V(0,0) and focus (0,-2).

Asked by Topperlearning User | 30th Apr, 2014, 11:29: AM

Expert Answer:

The vertex is the origin and the focus is (0,-2) which lies on the y - axis. Here a = -2, hence the parabola is of the form x2 = -4ay.

Hence the equation of the parabola is x2 = -8y.

Alert !  The negative sign is the formula x2 = -4ay signifies that it is a downwoard parabola. Take a = 2, as the negative sigin is already considered in the formula.

Answered by  | 30th Apr, 2014, 01:29: PM