| Exam Board | Edexcel |
|---|---|
| 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 graphical question requiring students to count intersections with horizontal/linear lines and apply standard transformations (horizontal translation and stretch). These are routine textbook exercises with no problem-solving or novel insight required, making it easier than average but not trivial since it tests understanding of transformations. |
| Spec | 1.02q Use intersection points: of graphs to solve equations1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Notes |
| (a)(i) \(3\) | B1 | |
| (a)(ii) \(1\) | B1 | |
| (b)(i) Correct sketch of graph (i) | B3 | |
| (b)(ii) Correct sketch of graph (ii) | B3 | (8) |
## Question 8:
| Answer/Working | Marks | Notes |
|---|---|---|
| **(a)(i)** $3$ | B1 | |
| **(a)(ii)** $1$ | B1 | |
| **(b)(i)** Correct sketch of graph (i) | B3 | |
| **(b)(ii)** Correct sketch of graph (ii) | B3 | **(8)** |
---8.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{d05cfae5-1d1d-4c90-80df-2975b9481c82-3_522_844_1235_379}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
Figure 1 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{Edexcel C1 Q8 [8]}}