| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Transformations of modulus graphs from given f(x) sketch |
| Difficulty | Standard +0.3 This is a standard C3 transformations question requiring students to apply well-rehearsed rules: reflecting negative parts for |f(x)|, horizontal scaling and vertical stretching for 3f(2x), and identifying translations for part (b). The transformations are routine textbook exercises with no novel problem-solving required, making it slightly easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.02x Combinations of transformations: multiple transformations |
3.\\
\includegraphics[max width=\textwidth, alt={}, center]{14ec6709-e1cb-42d7-af99-91365e50e4fc-1_535_810_877_406}
The diagram shows the curve $y = \mathrm { f } ( x )$ which has a maximum point at $( - 3,2 )$ and a minimum point at $( 2 , - 4 )$.
\begin{enumerate}[label=(\alph*)]
\item Showing the coordinates of any stationary points, sketch on separate diagrams the graphs of
\begin{enumerate}[label=(\roman*)]
\item $y = | \mathrm { f } ( x ) |$,
\item $y = 3 \mathrm { f } ( 2 x )$.
\end{enumerate}\item Write down the values of the constants $a$ and $b$ such that the curve with equation $y = a + \mathrm { f } ( x + b )$ has a minimum point at the origin $O$.
\end{enumerate}
\hfill \mbox{\textit{OCR C3 Q3 [7]}}