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-   -   Find the vertex focus latus rectum and directrix (https://www.askmehelpdesk.com/showthread.php?t=524918)

  • Nov 11, 2010, 09:03 AM
    famela
    find the vertex focus latus rectum and directrix
    find the vertex focus latus rectum and directrix
    y^2=20x
    (y=0)^2=20(x-0)
  • Nov 11, 2010, 05:24 PM
    galactus
    1 Attachment(s)

    This parabola has the form



    Where p is the distance from the vertex to the focus and from the vertex to the directrix.

    Since 4p=20, p=5

    The vertex is at the origin and the parabola opens right. So, where does that place the focus?
    The directrix?

    The latus rectum is a line segment that passes through the focus, is parallel to the directrix and has its endpoints on the parabola. It's length is |4p|.

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