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

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Answer:

(0, -1/2)

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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