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

Question

Mathematics

Ruth Lawson

22 May, 05:21

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

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Answers (1)

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Darian Hogan · Answer 1

(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).