Question
Asked Sep 25, 2019
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Find an equation of a parabola with focus at (−2,0) and with directrix x=9
(Express your answer in the form x=f(y)

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Expert Answer

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Step 1

Given that the parabola has the following details:

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Focus (2,0) Directrix: x 9

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Step 2

To find: Equation of parabola...

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Any point (x, y) on the parabola is equidistant from the focus F (-2,0) and directrix x 9 Therefore we find the distance between them using the distance formula (x2)2 y2 x - 9 Squaring both sides, (x 2)2y(x - 9)2 x24x4 y2 = x2- 18x +81 y2 22x77

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Calculus

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