| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2012 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Identify transformation from two graphs |
| Difficulty | Moderate -0.8 This is a straightforward C2 transformation question requiring students to identify simple transformations of y = sin x from given graphs. Students need only recognize basic transformations (likely vertical/horizontal shifts or stretches) by comparing key features like amplitude, period, and position - this is routine recall and pattern recognition with minimal problem-solving required. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.05f Trigonometric function graphs: symmetries and periodicities |
5 Figs. 5.1 and 5.2 show the graph of $y = \sin x$ for values of $x$ from $0 ^ { \circ }$ to $360 ^ { \circ }$ and two transformations of this graph. State the equation of each graph after it has been transformed.\\
(i)
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{ba9f2fd1-7a36-4749-86ec-40c93d23a84b-2_506_926_1324_571}
\captionsetup{labelformat=empty}
\caption{Fig. 5.1}
\end{center}
\end{figure}
(ii)
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{ba9f2fd1-7a36-4749-86ec-40c93d23a84b-2_513_936_2003_561}
\captionsetup{labelformat=empty}
\caption{Fig. 5.2}
\end{center}
\end{figure}
\hfill \mbox{\textit{OCR MEI C2 2012 Q5 [3]}}