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Question

The equation of the parabola whose vertex is (-1, -2) axis is vertical and which passes through the point (3, 6) is

A
x2+2x2y3=0
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B
2x2=3y
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C
x22xy+3=0
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D
None of these
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Solution

The correct option is A x2+2x2y3=0
Since the axis is vertical, the equation of the parabola would be of the form X2=4AY
Since the vertex is (-1,2), the equation will be
(x+1)2=4a(y+2)
To find a,
parabola passes through (3,6)16=4a.8a=12
(x+1)2=2(y+2)x2+2x2y3=0.

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