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
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