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Standard form of a parabola with a vertex and directrix

Asked Nov 22, 2010, 04:21 PM — 1 Answer
Write the standard form of the parabola with its vertex at (0,0) at te origin and directrix x= -3

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galactus Posts: 2,272, Reputation: 1436
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Nov 23, 2010, 04:40 AM
Since the directrix is at x=-3, the parabola open toward the positive x-axis and has the equation



The distance from the vertex to the directrix is the same as the distance from the vertex to the focus. P is this distance in the above equation. We can easily see that p=3.

Plug in p=3:



That's it.

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