| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Sketch rational function from transformation |
| Difficulty | Easy -1.2 This is a straightforward C1 transformation question requiring only horizontal translation of a given reciprocal curve by 2 units left, finding one intercept (y=3/2 at x=0), and stating asymptotes (x=-2, y=0). It's routine application of basic transformation rules with minimal calculation, making it easier than average. |
| Spec | 1.02o Sketch reciprocal curves: y=a/x and y=a/x^21.02w Graph transformations: simple transformations of f(x) |
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{c0db3fe8-62ec-41e3-acaf-66b2c7b2754d-06_702_785_242_607}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
Figure 1 shows a sketch of the curve with equation $y = \frac { 3 } { x } , x \neq 0$.
\begin{enumerate}[label=(\alph*)]
\item On a separate diagram, sketch the curve with equation $y = \frac { 3 } { x + 2 } , x \neq - 2$, showing the coordinates of any point at which the curve crosses a coordinate axis.
\item Write down the equations of the asymptotes of the curve in part (a).
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 2007 Q5 [5]}}