Date | November Example question | Marks available | 3 | Reference code | EXN.1.AHL.TZ0.8 |
Level | Additional Higher Level | Paper | Paper 1 | Time zone | Time zone 0 |
Command term | Write down | Question number | 8 | Adapted from | N/A |
Question
Let f(x)=a cos (b(x-c)), a,b,c∈ℝ+.
Part of the graph of y=f(x) is shown below. Point A is a local maximum and has coordinates (1, 3) and point B is a local minimum with coordinates (2, -3).
Write down a sequence of transformations that will transform the graph of y=cos x onto the graph of y=f(x).
Markscheme
Vertical stretch, scale factor 3 A1
Horizontal stretch, scale factor 1π≈0.318 A1
Horizontal translation of 1 unit to the right A1
Note: The vertical stretch can be at any position in the order of transformations. If the order of the final two transformations are reversed the horizontal translation is π units to the right.
[3 marks]