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27 April, 05:26

Write an equation of a parabola that opens to the left, has a vertex at the origin, and a focus at (-9, 0.

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  1. 27 April, 05:49
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    The standard equation of parabola:

    (y-k) ²=4p (x-h), with:

    a) vertex = (h, k)

    b) focus = (h+p, k)

    c) directrix = (x=h-p)

    Since this parabola has a vertex at (0,0) that means h=k=0

    Hence the equation becomes: y²=4px, let's calculate p:

    focus is given (-9,0) Remember h+p = - 9 & since h=0, then p = - 9

    ===> y² = - 36x
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