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.
33 exam-style questions on OCR (MEI) A Level Maths 1.4 Graphs, covering 1.4.1 Graphs of functions, 1.4.2 Intersection points with axes, 1.4.3 Completing the square for a quadratic curve, 1.4.4 Sketch graphs of simple functions, 1.4.5 Stationary points when curve sketching, 1.4.6 Graphs of reciprocal-type functions, 1.4.7 Single transformations of graphs, 1.4.8 Combined transformations of graphs (A-level only), and 1.4.9 Stationary points of inflection (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.