SOLUTION: Write an equation of the parabola with its vertex at the origin if its focus is at (0,2).

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Question 553643: Write an equation of the parabola with its vertex at the origin if its focus is at (0,2).
Answer by lwsshak3(11628) About Me  (Show Source):
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Write an equation of the parabola with its vertex at the origin if its focus is at (0,2).
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Given equation is that of a parabola that opens upwards. Standard form: (x-h)^2=4p(y-k), with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
vertex:(0,0)
axis of symmetry: x=0 or y-axis
p=distance from vertex to focus on axis of symmetry=2
equation of given parabola:
x^2=8y