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Question
Find the equation of the parabola whose vertex is O(0, 0) and focus at (–7, 0).
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Solution
The vertex of the required parabola is (0, 0) and focus is at (–7, 0).
∴ its axis is along X-axis
∴ its equation is of the form y2 = 4ax ...(1)
Then the focus is (a, 0) which is given to be (– 7, 0)
∴ a = – 7
∴ by (1), the equation of the parabola is y2 = – 28x.
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