| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Moderate -0.8 This is a straightforward C1 transformation question requiring only direct application of standard rules: reflection in x-axis and horizontal stretch factor 1/2. Students need to apply memorized transformation effects to three given points with no problem-solving or conceptual insight required. Easier than average A-level question. |
| 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 crosses the $x$-axis at the points $(2, 0)$ and $(4, 0)$. The minimum point on the curve is $P(3, -2)$.
In separate diagrams sketch the curve with equation
\begin{enumerate}[label=(\alph*)]
\item $y = -f(x)$, [3]
\item $y = f(2x)$. [3]
\end{enumerate}
On each diagram, give the coordinates of the points at which the curve crosses the $x$-axis, and the coordinates of the image of $P$ under the given transformation.
\hfill \mbox{\textit{Edexcel C1 Q6 [6]}}