| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Reflections |
| Difficulty | Moderate -0.8 This is a straightforward transformation question requiring knowledge of standard reflections: y = -f(x) reflects in the x-axis, y = f(-x) reflects in the y-axis. Students need to apply these rules systematically to given coordinates, which is routine practice for C2 level with minimal problem-solving required. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| (i) Curve drawn is a reflection in the \(x\)-axis \((a, 0), (-a, 0), (0, -b)\) | M1 A1 | 2 marks |
| (ii) Curve drawn is a reflection in the \(y\)-axis \((-a, 0), (a, 0), (0, b)\) | M1 A1 A1 | 3 marks |
**(i)** Curve drawn is a reflection in the $x$-axis $(a, 0), (-a, 0), (0, -b)$ | M1 A1 | 2 marks
**(ii)** Curve drawn is a reflection in the $y$-axis $(-a, 0), (a, 0), (0, b)$ | M1 A1 A1 | 3 marks5 The diagram shows the curve $y = \mathrm { f } ( x )$ where $a$ is a positive constant.\\
\includegraphics[max width=\textwidth, alt={}, center]{c55a5f04-3573-4f36-a12c-3755bdd4a45b-3_551_962_255_476}
Sketch the following curves on separate diagrams, in each case stating the coordinates of points where they meet the $x$ - and $y$-axes.\\
(i) $\quad y = - \mathrm { f } ( x )$\\
(ii) $\quad y = \mathrm { f } ( - x )$
\hfill \mbox{\textit{OCR MEI C2 Q5 [5]}}