A curve \(C\) has equation \(y=\dfrac{ax^2+bx+c}{2x+d}\), where \(a\), \(b\), \(c\) and \(d\) are real constants.
It is given that curve \(C\) has two asymptotes. One of the asymptotes is the line \(y=2-2x\) and the other asymptote intersects this line at the point \((1,0)\). Find the value of \(d\).[1]
If the curve passes through the point \((0,-2.5)\), find the values of \(a\), \(b\) and \(c\).[3]
Taking \(a=4\), \(b=-4\), \(c=2\) and \(d=-1\), state a sequence of transformations that will transform the curve \(C\) on to the curve with equation \(y=x+\dfrac{1}{x}\).[3]