| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Moderate -0.8 This is a straightforward C1 transformations question requiring only direct application of basic transformation rules (vertical stretch and reflection in x-axis) to given turning points. The transformations are standard textbook exercises with no problem-solving or insight required beyond recalling the transformation effects. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| (a) Graph showing curve passing through \((-3, 8)\) and \((1, -4)\) with turning points marked | B3 | |
| (b) Graph showing curve passing through \((1, 2)\) and \((-3, -4)\) with turning points marked | B3 | (6) |
(a) Graph showing curve passing through $(-3, 8)$ and $(1, -4)$ with turning points marked | B3 |
(b) Graph showing curve passing through $(1, 2)$ and $(-3, -4)$ with turning points marked | B3 | (6)3.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{01488c70-db95-43cb-9216-23d7dbaaf9fe-2_549_944_708_347}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
Figure 1 shows a sketch of the curve with equation $y = \mathrm { f } ( x )$. The curve has a maximum at $( - 3,4 )$ and a minimum at $( 1 , - 2 )$.
Showing the coordinates of any turning points, sketch on separate diagrams the curves with equations
\begin{enumerate}[label=(\alph*)]
\item $y = 2 \mathrm { f } ( x )$,
\item $y = - \mathrm { f } ( x )$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q3 [6]}}