| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Asymptotes after transformation |
| Difficulty | Moderate -0.8 This is a straightforward C1 transformation question requiring a vertical translation of a standard reciprocal function and finding an axis intercept. The transformation is basic (adding 3), asymptotes follow directly from the shift, and finding the y-intercept requires simple substitution. Below average difficulty as it tests routine application of elementary transformation rules with no problem-solving required. |
| Spec | 1.02o Sketch reciprocal curves: y=a/x and y=a/x^21.02w Graph transformations: simple transformations of f(x) |
Given that $f(x) = \frac{1}{x}$, $x \neq 0$,
\begin{enumerate}[label=(\alph*)]
\item sketch the graph of $y = f(x) + 3$ and state the equations of the asymptotes. [4]
\item Find the coordinates of the point where $y = f(x) + 3$ crosses a coordinate axis. [2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q3 [6]}}