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Answer 1 · 2017-11-16T06:15:37

#y=x^2/20#

Given -
Vertex #(0, 0)#
Focus#(0, 5)#

The parabola's vertex is at the origin.

Since its focus is #(0, 5)#, it opens up.

The formula for such a parabola is -

#x^2=4ay#

Where #a# is the distance between vertex and focus.

in our case -

#a=5#

Then, the equation of the parabola is -

#x^2=4xx5xxy#
#x^2=20y#
Solve it for #y#

#20y=x^2#
#y=x^2/20#

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