| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| 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: vertical stretch multiplies y-coordinates by 3, and horizontal translation shifts x-coordinates. No problem-solving or conceptual insight needed—just recall and apply basic transformation formulas to three given points. |
| 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 origin $O$ and through the point $(6, 0)$. The maximum point on the curve is $(3, 5)$.
On separate diagrams, sketch the curve with equation
\begin{enumerate}[label=(\alph*)]
\item $y = 3f(x)$, [2]
\item $y = f(x + 2)$. [3]
\end{enumerate}
On each diagram, show clearly the coordinates of the maximum point and of each point at which the curve crosses the $x$-axis.
\hfill \mbox{\textit{Edexcel C1 Q4 [5]}}