| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Solutions from graphical analysis |
| Difficulty | Moderate -0.8 This is a straightforward C1 question testing basic graph transformations and reading solutions from a graph. Part (a) requires simple visual inspection of intersections, while part (b) involves standard horizontal translations and stretches—routine transformations with no problem-solving or novel insight required. Easier than average for A-level. |
| Spec | 1.02p Interpret algebraic solutions: graphically1.02q Use intersection points: of graphs to solve equations1.02w Graph transformations: simple transformations of f(x) |
6.\\
\includegraphics[max width=\textwidth, alt={}, center]{00364339-8108-4031-8e67-6100810e8297-2_549_885_251_370}
The diagram shows the graph of $y = \mathrm { f } ( x )$.
\begin{enumerate}[label=(\alph*)]
\item Write down the number of solutions that exist for the equation
\begin{enumerate}[label=(\roman*)]
\item $\mathrm { f } ( x ) = 1$,
\item $\mathrm { f } ( x ) = - x$.
\end{enumerate}\item Labelling the axes in a similar way, sketch on separate diagrams the graphs of
\begin{enumerate}[label=(\roman*)]
\item $\quad y = \mathrm { f } ( x - 2 )$,
\item $y = \mathrm { f } ( 2 x )$.
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{OCR C1 Q6 [8]}}