How do you refine different intesections of parabola's in math?

Question

need to know how to refine math parabola intersections

Answer 1

I'm not sure what you mean by "refine". but if you mean "how do you find the points of intersection of two parabolas", a general procedure would be to

1) express each equation in the form y = f(x)
2) set the two expressions for f(x) equal to each other
3) collect terms on one side and simplify. This will give you a single equation for x. Usually it will be quadratic, but it might be linear (if the parabolas only meet at one point)
4) solve this equation for the value(s) of x, and then use either of the original equations to find the corresponding value(s) of y.