| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Single transformation sketches |
| Difficulty | Easy -1.2 This is a straightforward transformation question requiring students to apply standard rules: reflection in x-axis and horizontal stretch by factor 1/3. The only calculation needed is finding the new y-intercept values (−2 and 2 respectively). These are routine C2 transformations with no problem-solving or conceptual challenge beyond basic recall. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| (i) Sketch showing reflection in the \(x\) axis \((0, -2)\) | B1 | Total: 1 mark |
| (ii) Sketch showing stretch parallel to the \(x\) axis, s.f. \(\frac{1}{3}\) \((0, 2)\) | B1, B1 | Total: 2 marks |
**(i)** Sketch showing reflection in the $x$ axis $(0, -2)$ | B1 | **Total: 1 mark**
**(ii)** Sketch showing stretch parallel to the $x$ axis, s.f. $\frac{1}{3}$ $(0, 2)$ | B1, B1 | **Total: 2 marks**2 The diagram shows the graph of $y = \mathrm { f } ( x )$. The graph passes through the point with coordinates $( 0,2 )$.\\
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On separate diagrams sketch the graphs of the following functions, indicating clearly the point of intersection with the $y$ axis.\\
(i) $\quad y = - \mathrm { f } ( x )$\\
(ii) $y = f ( 3 x )$
\hfill \mbox{\textit{OCR MEI C2 Q2 [3]}}