| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2010 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Sketch single transformation from given curve |
| Difficulty | Moderate -0.8 This is a straightforward C1 transformation question requiring application of standard rules (vertical translation, vertical stretch, horizontal translation) to a given curve. Students need only apply memorized transformation rules to find new coordinates and asymptote equations—no problem-solving or conceptual insight required. Easier than average due to its routine, mechanical nature. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| Maximum \((-2, 7)\), asymptote \(y = 3\) | B1, B1 | Marks dependent on sketch being attempted. Both max coordinates correct and asymptote equation required |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| Maximum \((-2, 20)\), asymptote \(y = 4\) | B1, B1 | Marks dependent on sketch being attempted |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| Horizontal translation sketch | B1 | Evidence that \(y=5\) at max and asymptote is still \(y=1\) |
| Maximum \((-3, 5)\), asymptote \(y = 1\) | B1, B1 |
## Question 8:
**(a)**
| Answer/Working | Marks | Guidance |
|---|---|---|
| Maximum $(-2, 7)$, asymptote $y = 3$ | B1, B1 | Marks dependent on sketch being attempted. Both max coordinates correct and asymptote equation required |
**(b)**
| Answer/Working | Marks | Guidance |
|---|---|---|
| Maximum $(-2, 20)$, asymptote $y = 4$ | B1, B1 | Marks dependent on sketch being attempted |
**(c)**
| Answer/Working | Marks | Guidance |
|---|---|---|
| Horizontal translation sketch | B1 | Evidence that $y=5$ at max and asymptote is still $y=1$ |
| Maximum $(-3, 5)$, asymptote $y = 1$ | B1, B1 | |
---8.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{280f0f3b-fdb5-4ac9-adc6-150819b03539-10_646_986_246_562}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
Figure 1 shows a sketch of part of the curve with equation $y = \mathrm { f } ( x )$.\\
The curve has a maximum point $( - 2,5 )$ and an asymptote $y = 1$, as shown in Figure 1.
On separate diagrams, sketch the curve with equation
\begin{enumerate}[label=(\alph*)]
\item $y = \mathrm { f } ( x ) + 2$
\item $y = 4 \mathrm { f } ( x )$
\item $y = \mathrm { f } ( \mathrm { x } + 1 )$
On each diagram, show clearly the coordinates of the maximum point and the equation of the asymptote.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 2010 Q8 [7]}}