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Question
Find the equation of the parabola with vertex at the origin, axis along Y-axis and passing through the point (–10, –5).
Solution
The axis of the parabola is along Y-axis and vertex is at the origin.
∴ its equation is of the form x2 = 4by
But (– 10, – 5) lies on it
∴ (– 10)2 = 4b(–5)
∴ 4b = – 20
∴ equation of the required parabola is x2 = – 20y.
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