| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Multiple transformation descriptions |
| Difficulty | Moderate -0.8 This is a straightforward question requiring basic knowledge of trigonometric graphs and transformations. Part (i) involves sketching two standard cosine curves with different periods, while part (ii) asks for a simple vertical stretch transformation—both are routine C2 skills with no problem-solving or novel insight required. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05f Trigonometric function graphs: symmetries and periodicities |
5 (i) On the same axes, sketch the graphs of $y = \cos x$ and $y = \cos 2 x$ for values of $x$ from 0 to $2 \pi$.\\
(ii) Describe the transformation which maps the graph of $y = \cos x$ onto the graph of $y = 3 \cos x$.
\hfill \mbox{\textit{OCR MEI C2 2009 Q5 [5]}}