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nikklg [1K]
3 years ago
9

The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents t

he parabola? y2 = –2x x2 = –2y y2 = –8x x2 = –8y
Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

\boxed{x^2=-8y}

Step-by-step explanation:

(a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y

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