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Question
Find the equation of the parabola in the cases given below:
Vertex (1, – 2) and Focus (4, – 2)
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Solution
In given data the parabola is open rightwards and symmetric about the line parallel to x-axis.
Equation of parabola
(y – k)2 = 4a(x – h)
Vertex (h, k) = (1, – 2)
(y + 2)2 = 4a(x – 1)
a = AS = 3
Equation of parabola
(y + 2)2 = 4(3)(x – 1)
(y + 2)2 = 12(x – 1)
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