| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2013 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Forward transformation (single point, single transformation) |
| Difficulty | Moderate -0.8 This is a straightforward transformations question testing basic recall of function transformation rules. Part (i) requires applying a horizontal stretch factor of 1/5 (routine calculation), and part (ii) asks for a simple horizontal translation of 90 units. Both parts are standard textbook exercises with no problem-solving or conceptual depth required, making this easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
\begin{enumerate}[label=(\roman*)]
\item The point P$(4, -2)$ lies on the curve $y = f(x)$. Find the coordinates of the image of P when the curve is transformed to $y = f(5x)$. [2]
\item Describe fully a single transformation which maps the curve $y = \sin x^2$ onto the curve $y = \sin(x - 90)^2$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2013 Q3 [4]}}