| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Describe transformation from graph |
| Difficulty | Easy -1.2 This is a straightforward graph transformation question requiring students to identify a vertical or horizontal translation by visual inspection and match it to function notation. It's a standard C1 topic with minimal steps—just recognizing the shift and selecting the correct algebraic form from given options. Easier than average as it requires only basic pattern recognition rather than calculation or problem-solving. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks |
|---|---|
| Translation of \(\begin{pmatrix} 2 \\ 0 \end{pmatrix}\) | B1 |
| or '2 to the right' | B1 |
| or '\(x \to x + 2\)' | B1 |
| or 'all x values are increased by 2' | B1 |
| \(y = f(x - 2)\) | A1 |
| \(y = f(x + 2)\) | 0 marks |
**Question 2:**
**(ii) Translation**
Translation of $\begin{pmatrix} 2 \\ 0 \end{pmatrix}$ | B1
**or** '2 to the right' | B1
**or** '$x \to x + 2$' | B1
**or** 'all x values are increased by 2' | B1
$y = f(x - 2)$ | A1
$y = f(x + 2)$ | 0 marks2
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{91e16597-234a-4730-8c4b-765ca574e6e2-1_522_528_867_803}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{center}
\end{figure}
Fig. 2 shows graphs $A$ and $B$.\\
(i) State the transformation which maps graph $A$ onto graph $B$.\\
(ii) The equation of graph $A$ is $y = \mathrm { f } ( x )$.
Which one of the following is the equation of graph $B$ ?
$$\begin{aligned}
& y = \mathrm { f } ( x ) + 2 \\
& y = 2 \mathrm { f } ( x )
\end{aligned}$$
$$\begin{aligned}
& y = \mathrm { f } ( x ) - 2 \\
& y = \mathrm { f } ( x + 3 )
\end{aligned}$$
$$\begin{aligned}
& y = \mathrm { f } ( x + 2 ) \\
& y = \mathrm { f } ( x - 3 )
\end{aligned}$$
\hfill \mbox{\textit{OCR MEI C1 Q2 [4]}}