| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2007 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Identify transformation from two graphs |
| Difficulty | Easy -1.2 This is a straightforward pattern recognition question requiring identification of basic transformations (likely translations and/or reflections) from visual comparison of three graphs. It tests recall of standard transformation rules rather than problem-solving, and is typical of easier C2 material with minimal steps required. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| (i) \(y = \mathrm{f}(x) - 2\) | B2 | B1 for translation in \(y\) direction, B1 for correct equation |
| (ii) \(y = \mathrm{f}(\frac{x}{2})\) or \(y = \mathrm{f}(0.5x)\) | B2 | B1 for stretch in \(x\) direction, B1 for correct equation |
## Question 3:
**(i)** $y = \mathrm{f}(x) - 2$ | B2 | B1 for translation in $y$ direction, B1 for correct equation
**(ii)** $y = \mathrm{f}(\frac{x}{2})$ or $y = \mathrm{f}(0.5x)$ | B2 | B1 for stretch in $x$ direction, B1 for correct equation
---3
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{2bdf241f-4538-4227-ba00-fe843d1b3aca-2_830_1393_959_334}
\captionsetup{labelformat=empty}
\caption{Fig. 3}
\end{center}
\end{figure}
Fig. 3 shows sketches of three graphs, A, B and C. The equation of graph A is $y = \mathrm { f } ( x )$. State the equation of\\
(i) graph B ,\\
(ii) graph C.
\hfill \mbox{\textit{OCR MEI C2 2007 Q3 [4]}}