Question

Write and equation of a parabola with vertex at the origin and the given focus. (0,-5). please help!

Answer 1

since focus of your parabola is (0,-5) and that parabola passes at the origin of coordinate system, then its equation has to be as below:
\[y=ax ^{2}\]
where:
\[\frac{ 1 }{ 4a }=-5\]
so
\[a=-\frac{ 1 }{ 20 }\]
finally your equation is:
\[y=-\frac{ x ^{2} }{ 20 }\]

Answer 2

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Answer 3

Thank you!

Answer 4

Thank you!