| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| 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 transformation question requiring students to apply standard rules for vertical stretch (multiply y-coordinates by 2) and horizontal translation (shift x-coordinates by -3). It's purely procedural with no problem-solving required, making it easier than average, though not trivial since students must correctly identify and apply two different transformation types. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
Total: 4 marks
**Question 13:**
(i) Line along $y = 6$ with vertices $(1, 6)$, $(2, 2)$, $(3, 6)$
M1: 1 for two points correct
A1: 1 for two points correct
(ii) Line along $y = 3$ with vertices $(-2, 3)$, $(-1, 1)$, $(0, 3)$
M1: 1 for two points correct
A1: 1 for two points correct
Total: 4 marks13
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{669be128-491c-4152-8f3a-e37a34dd9383-7_618_867_267_679}
\captionsetup{labelformat=empty}
\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 Q13 [4]}}