SOLUTION: find the standard form of the equation of the parabola and determine the coordinates of the focus. parabola with vertex at the Orton and (3,6) is a point on the parabola

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the standard form of the equation of the parabola and determine the coordinates of the focus. parabola with vertex at the Orton and (3,6) is a point on the parabola      Log On


   

Question 913585: find the standard form of the equation of the parabola and determine the coordinates of the focus. parabola with vertex at the Orton and (3,6) is a point on the parabola
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Replacing ORIGIN for ORTON allows this: y=a%2Ax%5E2 unless you want the parabola to be oriented differently.

a=y%2Fx%5E2
a=6%2F3%5E2
a=6%2F%283%2A3%29
a=%282%2A3%29%2F%283%2A3%29
a=2%2F3

result: y=%282%2F3%29x%5E2