| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Two stretches from same function |
| Difficulty | Moderate -0.3 This is a straightforward C2 transformations question requiring application of standard stretch rules to a simple quadratic. Students need to apply horizontal stretch (factor 1/2) and vertical stretch (factor 3), then calculate new coordinates—routine procedure with minimal problem-solving, though slightly above pure recall since coordinates must be computed rather than just stated. |
| Spec | 1.02n Sketch curves: simple equations including polynomials1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks |
|---|---|
| crossing \(x\)-axis at 0 and 2.5 | 1 |
| min at \((1.25, -6.25)\) | 1 |
| crossing \(x\)-axis at 0 and 5 | 1 |
| min at \((2.5, -18.75)\) | 1 |
Question 4:
crossing $x$-axis at 0 and 2.5 | 1
min at $(1.25, -6.25)$ | 1
crossing $x$-axis at 0 and 5 | 1
min at $(2.5, -18.75)$ | 14 In this question, $\mathrm { f } ( x ) = x ^ { 2 } - 5 x$. Fig. 4 shows a sketch of the graph of $y = \mathrm { f } ( x )$.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{669be128-491c-4152-8f3a-e37a34dd9383-2_795_898_824_654}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{figure}
On separate diagrams, sketch the curves $y = \mathrm { f } ( 2 x )$ and $y = 3 \mathrm { f } ( x )$, labelling the coordinates of their intersections with the axes and their turning points.
\hfill \mbox{\textit{OCR MEI C2 Q4 [4]}}