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sammy [17]
3 years ago
11

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -4).

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0
We have 
Parabola
with vertex (0,0) and   focus (0,-4)

we know that
is a vertical parabola that opens down
the standard form of the equation is of the form
(x-h)²=-4p(y-k)
where
(h,k) is the vertex----------> (0,0)
p is the distance from the vertex to the focus or directrix
in this problem 
p=4
(x-h)²=-4p(y-k)------> x²=-16y-------> y=-(1/16)x²

the answer is the option
<span>D.)y = negative one divided by sixteen x2

see the attached figure
</span>

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