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    E.goddess's Avatar
    E.goddess Posts: 1, Reputation: 1
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    #1

    Jul 5, 2010, 12:48 PM
    find an equation of the parabola with focus and directrix
    hi I'm having trouble determining the equation of the parabola where the focus and directrix are given.For example:
    focus:(0,0);directrix:y=4
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Jul 5, 2010, 01:47 PM

    The parabola has equation



    where V(h,k) are the coordinates of the vertex.

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

    Since the vertex is halfway between the directrix and focus,
    p=2 and V(0,2)

    Sub in the given info and find the equation.
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