The diagram shows the curve with equation y=f(x)y = f(x)y=f(x). The curve meets the xxx-axis at (−2,0)(-2, 0)(−2,0) and (4,0)(4, 0)(4,0), and has a maximum point at (1,9)(1, 9)(1,9).
On separate axes, sketch the curve with equation y=f(x+2)y = f(x + 2)y=f(x+2), stating the coordinates of its maximum point and of the points where it meets the xxx-axis.
On separate axes, sketch the curve with equation y=3f(x)y = 3f(x)y=3f(x), stating the coordinates of its maximum point.
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.