Date | May 2010 | Marks available | 4 | Reference code | 10M.2.hl.TZ1.1 |
Level | HL only | Paper | 2 | Time zone | TZ1 |
Command term | Find | Question number | 1 | Adapted from | N/A |
Question
The graph below shows \(y = a\cos (bx) + c\).
Find the value of a, the value of b and the value of c.
Markscheme
\(a = 3\) A1
\(c = 2\) A1
period \( = \frac{{2\pi }}{b} = 3\) (M1)
\(b = \frac{{2\pi }}{3}{\text{ }}( = 2.09)\) A1
[4 marks]
Examiners report
Most candidates were able to find a and c, but many had difficulties with finding b.