The profile of a mountain ridge is modeled by a cubic function y=M(x)y = M(x)y=M(x). The curve passes through the points (−4,0)(-4, 0)(−4,0) and (0,8)(0, 8)(0,8) and has a local minimum that touches the xxx-axis at the point (2,0)(2, 0)(2,0).
On separate diagrams, sketch the curve with equation:
y=M(x−4)y = M(x - 4)y=M(x−4)
On each diagram, show clearly the coordinates of all the points where the curve cuts or touches the coordinate axes.
y=M(−2x)y = M(-2x)y=M(−2x)
On each diagram, show clearly the coordinates of all the points where the curve cuts or touches the coordinate axes.
Practise Edexcel A Level Maths Functions and Graphs with exam-style questions for A Level Maths. 121 questions covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
