OCR MEI C2 2009 January — Question 5 4 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFunction Transformations
TypeMultiple separate transformations (sketch-based, standard transformations)
DifficultyModerate -0.8 This is a straightforward application of standard function transformations (horizontal translation and vertical stretch) that students learn early in C2. The question requires only direct application of transformation rules to given key points, with no problem-solving or synthesis required—easier than average A-level questions.
Spec1.02w Graph transformations: simple transformations of f(x)

5 Answer this question on the insert provided. Fig. 5 shows the graph of \(y = \mathrm { f } ( x )\). \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{838d6b15-69a9-4e67-bc36-5bf60254a767-3_979_1077_422_536} \captionsetup{labelformat=empty} \caption{Fig. 5}
\end{figure} On the insert, draw the graph of
  1. \(y = \mathrm { f } ( x - 2 )\),
  2. \(y = 3 \mathrm { f } ( x )\).

5 Answer this question on the insert provided.
Fig. 5 shows the graph of $y = \mathrm { f } ( x )$.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{838d6b15-69a9-4e67-bc36-5bf60254a767-3_979_1077_422_536}
\captionsetup{labelformat=empty}
\caption{Fig. 5}
\end{center}
\end{figure}

On the insert, draw the graph of\\
(i) $y = \mathrm { f } ( x - 2 )$,\\
(ii) $y = 3 \mathrm { f } ( x )$.

\hfill \mbox{\textit{OCR MEI C2 2009 Q5 [4]}}