| 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 straightforward transformation question requiring students to apply standard rules for horizontal and vertical stretches. The transformations are basic (scale factors of 2 and 3) with no composition or reflection involved, making it easier than average but requiring more than pure recall since students must correctly apply the transformations to multiple key points on the given graph. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
Question 2:
(i) Graph from $(1, 1)$ to $(1, 1)$ to $(2, 2)$ to $(3, 0)$ [2 marks]
B1 for three points correct or for all four points correct but clearly not joined
Points must be joined, but not always easy to see, so give benefit of doubt if in doubt. Accept freehand drawing.
(ii) Graph from $(2, 3)$ to $(2, 3)$ to $(4, 6)$ to $(6, 0)$ [2 marks]
B1 for three points correct or for all four points correct but clearly not joined
Points must be joined, but not always easy to see, so give benefit of doubt if in doubt. Accept freehand drawing.2 Fig. 8 shows the graph of $y = \mathrm { g } ( x )$.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{669be128-491c-4152-8f3a-e37a34dd9383-1_800_1401_781_385}
\captionsetup{labelformat=empty}
\caption{Fig. 8}
\end{center}
\end{figure}
Draw the graph of\\
(i) $y = \mathrm { g } ( 2 x )$,\\
(ii) $y = 3 \mathrm {~g} ( x )$.
\hfill \mbox{\textit{OCR MEI C2 Q2 [4]}}