| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Graph y = a|bx+c| + d: identify vertex and intercepts |
| Difficulty | Easy -1.3 This is a straightforward substitution question requiring only basic understanding of modulus functions. Students simply substitute x=0 to find b=2, and set y=0 to find a=1. No problem-solving or conceptual depth required—purely routine application of reading coordinates from a given equation. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities |
4 Fig. 4 shows a sketch of the graph of $y = 2 | x - 1 |$. It meets the $x$ - and $y$-axes at ( $a , 0$ ) and ( $0 , b$ ) respectively.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{1167a0e5-48c8-48e0-b2d1-76a50bad03ad-2_478_556_1247_792}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{figure}
Find the values of $a$ and $b$.
\hfill \mbox{\textit{OCR MEI C3 2009 Q4 [3]}}