The curve C C\,C has equation y=x2−6x+5y = x^2 - 6x + 5y=x2−6x+5
Sketch CCC, showing the coordinates of the turning point and of the points where C C\,C crosses the coordinate axes.
Describe fully the single transformation that maps C C\,C onto the curve with equation y=x2−6x+9y = x^2 - 6x + 9y=x2−6x+9.