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Mathematics
Hahn
29 March, 19:35
Find the focus of the parabola 2x^2=-y
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Tess Valdez
29 March, 19:42
0
(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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