Which is the focus of a parabola with equation y2=-12x

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01-03-2018
Mathematics

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Which is the focus of a parabola with equation y2=-12x

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calculista calculista · Answer 1 · 2018-03-01T16:47:26+01:00

calculista calculista

01-03-2018

we have
y²=-12x

the vertex is the point (0,0)------------- > see the attached figure

standard form: (y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.
vertex(0,0)
4p=-12---- > p=-12/4
p=-3
Focus:(-3,0)

the answer is (-3,0)

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