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8 July, 17:18

Find the focus of the parabola 2x^2=-y

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  1. 8 July, 17:36
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    (0, - 1/2)

    Step-by-step explanation:

    Rewrite this as y = - 2x^2. Because of the negative sign, as well as the fact that y is the dependent variable, we know that the graph of this parabola opens downward.

    Comparing y = - 2x^2 with

    y = 4px^2, we see that 4p = - 2, or p = - 1/2.

    The focus of this parabola is below the x-axis: (0, - 1/2).
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