| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Session | Specimen |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Moderate -0.8 This is a straightforward application of standard function transformations (horizontal translation and horizontal stretch) taught in C1. Students need only apply memorized rules to transform three key points—no problem-solving or conceptual insight required beyond recalling that f(x+1) shifts left by 1 and f(2x) compresses horizontally by factor 2. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
\includegraphics{figure_1}
Figure 1 shows a sketch of the curve with equation $y = \text{f}(x)$.
The curve crosses the coordinate axes at the points $(0, 1)$ and $(3, 0)$. The maximum point on the curve is $(1, 2)$.
On separate diagrams, sketch the curve with equation
\begin{enumerate}[label=(\alph*)]
\item $y = \text{f}(x + 1)$, [3]
\item $y = \text{f}(2x)$. [3]
\end{enumerate}
On each diagram, show clearly the coordinates of the maximum point, and of each point at which the curve crosses the coordinate axes.
\hfill \mbox{\textit{Edexcel C1 Q5 [6]}}