| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| 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 testing basic knowledge of trigonometric graphs and transformations. Part (i) requires sketching two standard cosine curves with different periods—a routine skill. Part (ii) asks for a simple vertical stretch transformation, which is direct recall. No problem-solving or novel insight is required, making this easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05f Trigonometric function graphs: symmetries and periodicities |
Question 14:
(i) Sketch of $\cos x$; one cycle,
Sketch of $\cos 2x$; two cycles,
Both axes scaled correctly
(ii) (1-way) stretch parallel to y axis
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D114 (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 Q14 [5]}}