Mathematics
tiaralover1223
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The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2.Which equation represents the parabola? y2 = –2x x2 = –2y y2 = –8x x2 = –8y

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leandrogomez030

The standard form is (x - h)^2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p We know that the focus is (0, -2) which results in h=0 and k+p=-2. We also know that the directrix of the parabola is represented by y = 2 so k-p=2 k-p=2 k+p=-2 If we add those 2 equations: 2k=0 k=0 p=-2 Know we replace in the standard form: (x-0)^2 = 4*(-2)*(y-0) x^2 = -8*y

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