In fact what you want to know is a bit confusing. please elaborate a bit and show the effort you have made so far.
I am facing the following problem.
Let’s consider 2 points that are not known (x_{0},y_{0}) and (x_{1},y_{1})
I know that from these 2 unknown points (x_{0},y_{0}) and (x_{1},y_{1}) a number of second degree polynomials passes.
f_{i}(x)=a_{i2}x^{2}+a_{i1}x+a_{i0}
For each of these polynomials I know
one point (x_{ki},y_{ki}) of the polynomial and its leading coefficient i.e. a_{i2} which is different for each polynomial.
Is it possible to find the intersection points (i.e. the 2 unknown points) of the aforementioned polynomials?
Okay, I ll try to elaborate.
I want to define the intersection points of polynomials of degree 2.
In specific I know that a number of polynomials lets say 4 quadratics intersect at 2 points.
The intersection points are not known.
From each of the 4 quadratics I know their leading coefficient and a point. (The known point is different than the intersection point.)
Can I define their intersection points or not?