| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Easy -1.2 This is a straightforward graph transformation question testing standard rules (horizontal stretch factor 1/2 for f(2x), vertical stretch factor 1/2 for (1/2)f(x)). Students only need to apply memorized transformation rules to three labeled points with no problem-solving or conceptual insight required—purely procedural recall making it easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
\includegraphics{figure_5}
Fig. 5 shows a sketch of the graph of $y = f(x)$. On separate diagrams, sketch the graphs of the following, showing clearly the coordinates of the points corresponding to P, Q and R.
\begin{enumerate}[label=(\roman*)]
\item $y = f(2x)$ [2]
\item $y = \frac{1}{2}f(x)$ [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2010 Q5 [4]}}