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Maksim231197 [3]
3 years ago
11

Write the equation of a parabola with a vertex at (0,0), a focus at (2,0), and directrix x=-2

Mathematics
1 answer:
kkurt [141]3 years ago
8 0
The directrix is x=-2, which means the parabola opens horizontally instead of vertically. The equation is (y - k)²<span> = 4p (x - h), where the </span>focus<span> is (h + p, k) and the </span>directrix<span> is x = h - p
in this case, h+p=2, k=0, and h-p=-2
solve for h and p: h=0, p=2
plug the numbers into the equation: (y-0)</span>²=4*2(x-0)
simplify: y²=8x
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