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)   (Show Source): You can put this solution on YOUR website!
That would be in a standard form, , and , and therefore the form is much simpler, like . Having a given point on the parabola allows you to find the value for a. Solve the equation symbolically for a.

and you have a point for x and y.


RESULT:

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