Find the equation of the parabola with vertex at the origin, passing through the point (-2,-3) and symmetric about the y axis.

Asked by Topperlearning User | 30th Apr, 2014, 11:31: AM

Expert Answer:

Since the vertex is at the origin and the parabola is symmetric about the y axis it is of the form x2 = 4ay.The parabola passes through the point (-2,-3),hence the coordinates x=-2 and y=-3 must satisfy the equation of the parabola is x2 = 4ay

(-2)2 = 4a (-3)

4 = -12a a = -4/12 = -1/3.

Hence the equation of the porabola is x2 = -1/3y or 3x2 = -y

Answered by  | 30th Apr, 2014, 01:31: PM