SOLUTION: write the standard form of the equation of the parabola with its vertex (0,0)and focus at (0,5).

Question 756279: write the standard form of the equation of the parabola with its vertex (0,0)and focus at (0,5).
Answer by DSMLMD(16) (Show Source): You can put this solution on YOUR website!
Vertex (0,0) and Focus at (0,5)

Vertex:
(0,0)
(a,b)

Focus Point:
(0,5)
(0,p)

we get p = 5

So because the point of focus located in y-coordinate, so the parabola equation is:

(x - a)^2 = 4p(y - b)
(x - 0)^2 = 4(5)(y - 0)
x^2 = 20y

The parabola equation is x^2 = 20y or x^2 - 20y = 0
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