Find the equation of the parabola with vertex (0,0) and focus (-5,0).

Asked by Topperlearning User | 30th Apr, 2014, 11:28: AM

Expert Answer:

The vertex is the origin and the focus is (-5,0) which lies on the x axis. Since a = -5, it is of the form y2 = -4ax. Hence the equation of the parabola is y2 = -20x.

Alert 1. The negative sign in the equation y2 = -4ax signifies that it is a left handed parabola. Take a as 5 only as the negative sign is aleady considered in the formula.

Answered by  | 30th Apr, 2014, 01:28: PM