SOLUTION: Find an equation for the parabola that has its vertex at the origin and has a focus at the point(0,9.4)

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Question 1072187: Find an equation for the parabola that has its vertex at the origin and has a focus at the point(0,9.4)

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Directrix y=-9.4, as if general point (x,-9.4).

Definition for Parabola and use of the Distance Formula:
sqrt%28%28x-0%29%5E2%2B%28y-9.4%29%5E2%29=sqrt%28%28x-x%29%5E2%2B%28y-%28-9.4%29%29%5E2%29

x%5E2%2B%28y-9.4%29%5E2=%28y%2B9.4%29%5E2

x%5E2%2By%5E2-18.8y%2B88.36=y%5E2%2B18.8y%2B88.36

x%5E2-18.8y=18.8y

highlight%28x%5E2=37.6y%29