OCR MEI C1 2014 June — Question 3 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2014
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCurve Sketching
TypeSketch two translations on separate diagrams
DifficultyModerate -0.8 This is a straightforward transformation question requiring only basic recall of vertical and horizontal translations. Students need to shift the given curve down 2 units and right 3 units respectively—standard C1 content with no problem-solving or conceptual challenge beyond direct application of memorized rules.
Spec1.02w Graph transformations: simple transformations of f(x)

3 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2e8f2d63-8a25-4da2-8c3e-9e75ea1b7c08-2_798_819_836_623} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure} Fig. 3 shows the graph of \(y = \mathrm { f } ( x )\). Draw the graphs of the following.
  1. \(y = \mathrm { f } ( x ) - 2\)
  2. \(y = \mathrm { f } ( x - 3 )\)

Question 3(i):
AnswerMarks Guidance
AnswerMarks Guidance
Graph of shape with vertices at \((-2,-3)\), \((0,0)\) and \((2,-4)\)M1 for 2 vertices correct Condone lines unruled; condone just missing vertex: \(\frac{1}{4}\) grid square tolerance
[2]
Question 3(ii):
AnswerMarks Guidance
AnswerMarks Guidance
Graph of shape with vertices at \((1,-1)\), \((3,2)\) and \((5,-2)\)M1 for 2 vertices correct or for shape with vertices at \((-5,-1)\), \((-3,2)\) and \((-1,-2)\) Condone lines unruled; condone just missing vertex: \(\frac{1}{4}\) grid square tolerance
[2]
## Question 3(i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| Graph of shape with vertices at $(-2,-3)$, $(0,0)$ and $(2,-4)$ | M1 for 2 vertices correct | Condone lines unruled; condone just missing vertex: $\frac{1}{4}$ grid square tolerance |
| | **[2]** | |

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## Question 3(ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| Graph of shape with vertices at $(1,-1)$, $(3,2)$ and $(5,-2)$ | M1 for 2 vertices correct or for shape with vertices at $(-5,-1)$, $(-3,2)$ and $(-1,-2)$ | Condone lines unruled; condone just missing vertex: $\frac{1}{4}$ grid square tolerance |
| | **[2]** | |

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3

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{2e8f2d63-8a25-4da2-8c3e-9e75ea1b7c08-2_798_819_836_623}
\captionsetup{labelformat=empty}
\caption{Fig. 3}
\end{center}
\end{figure}

Fig. 3 shows the graph of $y = \mathrm { f } ( x )$. Draw the graphs of the following.\\
(i) $y = \mathrm { f } ( x ) - 2$\\
(ii) $y = \mathrm { f } ( x - 3 )$

\hfill \mbox{\textit{OCR MEI C1 2014 Q3 [4]}}