The curve \(C\) has equation \(y=\frac{x^{2}+p x+1}{x-2}\), where \(p\) is a constant. Given that \(C\) has two find the equation of each asymptote.

Find the set of values of \(p\) for which \(C\) has two distinct turning points.
Sketch \(C\) in the case \(p=-1\). Your sketch should indicate the coordinates of any intersections with the axes, but need not show the coordinates of any turning points.