SOLUTION: Find the equation of the parabola with vertex at the origin, the focus is on the y-axis and the parabola passes through the point (2,5)

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Question 861729: Find the equation of the parabola with vertex at the origin, the focus is on the y-axis and the parabola passes through the point (2,5)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
That would be in a standard form, y=a%28x-h%29%5E2%2Bk%7D%7D%2C+where+%7B%7B%7Ba%3E0, and h=k=0, and therefore the form is much simpler, like y=ax%5E2. Having a given point on the parabola allows you to find the value for a. Solve the equation symbolically for a.

a=y%2Fx%5E2 and you have a point for x and y.
a=5%2F%282%5E2%29

RESULT: highlight%28y=%285%2F4%29x%5E2%29