| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2013 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Easy -1.3 This is a straightforward graph transformation question testing basic recall of horizontal stretch (factor 1/2) and vertical stretch (factor 3). These are standard C2 transformations requiring only direct application of memorized rules with no problem-solving or algebraic manipulation needed. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| graph from \((-1, 1)\) to \((1, 1)\) to \((2, 2)\) to \((3, 0)\) | 2 | B1 for three points correct or for all four points correct but clearly not joined |
| Answer | Marks | Guidance |
|---|---|---|
| graph from \((-2, 3)\) to \((2, 3)\) to \((4, 6)\) to \((6, 0)\) | 2 | B1 for three points correct or for all four points correct but clearly not joined |
### Part (i)
graph from $(-1, 1)$ to $(1, 1)$ to $(2, 2)$ to $(3, 0)$ | 2 | B1 for three points correct or for all four points correct but clearly not joined | points must be joined, but not always easy to see, so BOD if in doubt. Accept freehand drawing.
### Part (ii)
graph from $(-2, 3)$ to $(2, 3)$ to $(4, 6)$ to $(6, 0)$ | 2 | B1 for three points correct or for all four points correct but clearly not joined | points must be joined, but not always easy to see, so BOD if in doubt. Accept freehand drawing.Fig. 8 shows the graph of $y = g(x)$.
\includegraphics{figure_8}
Draw the graph of
\begin{enumerate}[label=(\roman*)]
\item $y = g(2x)$, [2]
\item $y = 3g(x)$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2013 Q8 [4]}}