| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2014 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Forward transformation (single point, multiple transformations) |
| Difficulty | Moderate -0.8 This is a straightforward application of standard function transformations (vertical stretch and horizontal stretch) taught in C2. Students need only recall that y = kf(x) affects y-coordinates by factor k, and y = f(kx) affects x-coordinates by factor 1/k. No problem-solving or multi-step reasoning required—pure procedural recall on a routine topic. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
The point R$(6, -3)$ is on the curve $y = f(x)$.
\begin{enumerate}[label=(\roman*)]
\item Find the coordinates of the image of R when the curve is transformed to $y = \frac{1}{2}f(x)$. [2]
\item Find the coordinates of the image of R when the curve is transformed to $y = f(3x)$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2014 Q4 [4]}}