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12 November, 17:14

What are the focus and directrix of the parabola with the equation y=1/16x^2

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  1. 12 November, 17:30
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    Y=1/16x^2

    multiplying both sides by 16 we get:

    16y=x^2

    The general form of a parabola is:

    (x-h) ^2=4p (y-k)

    thus

    4p=16

    p=4

    The parabola opens upwrd:

    Focus: (h, k-p)

    (0,0-4)

    = (0,-4)

    Directrix: y=-4
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