| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Two stretches from same function |
| Difficulty | Moderate -0.8 This is a standard C2 transformations question requiring application of horizontal stretch (factor 1/2) and vertical stretch (factor 1/4) to given coordinates. It tests routine recall of transformation rules with straightforward coordinate manipulation, making it easier than average but not trivial since students must correctly apply two different stretch transformations. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
Total: 4 marks
Question 11:
(i) Sketch of correct shape with P $(-0.5, 2)$ Q $(0, 4)$ and R $(2, 2)$
2 marks
1 if Q and one other are correct
1 if Q and one other are correct
(ii) Sketch of correct shape with P $(-1, 0.5)$ Q $(0, 1)$ and R $(4, 0.5)$
2 marks
1 if Q and one other are correct
1 if Q and one other are correct
Total: 4 marks11
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{669be128-491c-4152-8f3a-e37a34dd9383-5_546_989_828_596}
\captionsetup{labelformat=empty}
\caption{Fig. 5}
\end{center}
\end{figure}
Fig. 5 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 $\mathrm { P } , \mathrm { Q }$ and R .\\
(i) $y = \mathrm { f } ( 2 x )$\\
(ii) $y = \frac { 1 } { 4 } \mathrm { f } ( x )$
\hfill \mbox{\textit{OCR MEI C2 Q11 [4]}}