SOLUTION: Find the equation of a parabola with vertex at the origin, and the axis along x-axis and passing through (2,3).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of a parabola with vertex at the origin, and the axis along x-axis and passing through (2,3).      Log On


   

Question 828448: Find the equation of a parabola with vertex at the origin, and the axis along x-axis and passing through (2,3).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x=ay%5E2%2Bh
(The value for "k" is 0).

Vertex is ON the origin, so then h=0 also. Vertex would still be some (h,k), from a fuller standard form, x=a%28y-k%29%5E2%2Bk.

What is the value of a?
Point (2,3) gives 3=a%282%29%5E2
3=a%2A4
a=3%2F4

Your equation, highlight%28x=%283%2F4%29y%5E2%29