It is given that f(x)=(x+1)(x−2)(x−4)f(x) = (x + 1)(x - 2)(x - 4)f(x)=(x+1)(x−2)(x−4)
Sketch the curve with equation y=f(x)y = f(x)y=f(x), showing the coordinates of the points where the curve meets the coordinate axes.
State the coordinates of the point where the curve y=f(x−2)y = f(x - 2)y=f(x−2) meets the yyy-axis.
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.