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20 January, 12:49

A parabola can be represented by the equation y2 = - x. What are the coordinates of the focus and the equation of the directrix?

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  1. 20 January, 12:51
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    (y-k) ²=4p (x-h)

    (h, k) is vertex

    and since we got the y term squred, it is facing left or right

    when p is positive, then focus is to right of veretx

    p is distance from focus to vertex and from vertex to dirextix

    y²=-x

    (y-0) ²=4 (-1/4) (x-0)

    vertex is (0,0)

    p is negative so then focus to left of vertex

    so the focus is (-1/4,0)

    dirextix is x=1/4
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