| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Moderate -0.8 This is a standard C1 transformation question requiring routine application of three basic transformations (horizontal translation, vertical stretch, horizontal stretch). Students need only apply memorized rules to transform given coordinates—no problem-solving or conceptual insight required. The transformations are the most common types tested at this level. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
\includegraphics{figure_1}
Figure 1 shows a sketch of the curve with equation $y = f(x)$. The curve passes through the points $(0, 3)$ and $(4, 0)$ and touches the $x$-axis at the point $(1, 0)$.
On separate diagrams, sketch the curve with equation
\begin{enumerate}[label=(\alph*)]
\item $y = f(x + 1)$, [3]
\item $y = 2f(x)$, [3]
\item $y = f\left(\frac{1}{2}x\right)$. [3]
\end{enumerate}
On each diagram show clearly the coordinates of all the points at which the curve meets the axes.
\hfill \mbox{\textit{Edexcel C1 Q6 [9]}}