Unfortunately no.
I am trying to fit a set of data points, say {(x1,y1),(x2,y2),...,(xn,yn)}, to the parabola defined by y=a(x+p)^2+b(x+p)+c. Which is non-linear because p is also unknown (unless someone can figure out how to reduce it!) so the method of least squares does not apply.
I have...