| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Vertical stretch y = af(x) |
| Difficulty | Moderate -0.8 This is a straightforward graph transformation question requiring only direct application of standard rules: vertical stretch multiplies y-coordinates by 2, and horizontal translation shifts x-coordinates by -3. No problem-solving or conceptual insight needed beyond recalling these basic transformation rules, making it easier than average but not trivial since students must apply transformations correctly to three specific points. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
4
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{15872003-2e41-47e9-a5bd-34e533768f8a-2_625_869_1155_639}
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\caption{Fig. 4}
\end{center}
\end{figure}
Fig. 4 shows a sketch of the graph of $y = \mathrm { f } ( x )$. On separate diagrams, sketch the graphs of the following, showing clearly the coordinates of the points corresponding to $\mathrm { A } , \mathrm { B }$ and C .\\
(i) $y = 2 \mathrm { f } ( x )$\\
(ii) $y = \mathrm { f } ( x + 3 )$
\hfill \mbox{\textit{OCR MEI C2 2008 Q4 [4]}}