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-   -   Standard form of a parabola with a vertex and directrix (https://www.askmehelpdesk.com/showthread.php?t=528284)

  • Nov 22, 2010, 05:21 PM
    jahxx3
    standard form of a parabola with a vertex and directrix
    Write the standard form of the parabola with its vertex at (0,0) at te origin and directrix x= -3
  • Nov 23, 2010, 05:40 AM
    galactus

    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.

    There are many parabola-related posts on this site. Do a search.

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