| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Stationary points after transformation |
| Difficulty | Moderate -0.8 This is a straightforward application of function transformations to stationary points. Students only need to recall that vertical stretches multiply y-coordinates and horizontal stretches divide x-coordinates, requiring no calculus or problem-solving—just direct application of transformation rules to given coordinates. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| (i) \((3, 15)\) | B2 | B1 for each coordinate |
| (ii) \((1.5, 5)\) | B2 | B1 for each coordinate |
Question 10:
(i) $(3, 15)$ | B2 | B1 for each coordinate | s.c. B0 for $(3, 5)$
(ii) $(1.5, 5)$ | B2 | B1 for each coordinate | s.c. B0 for $(3, 5)$10 The curve $y = \mathrm { f } ( x )$ has a minimum point at $( 3,5 )$.\\
State the coordinates of the corresponding minimum point on the graph of\\
(i) $y = 3 \mathrm { f } ( x )$,\\
(ii) $y = \mathrm { f } ( 2 x )$.
\hfill \mbox{\textit{OCR MEI C2 Q10 [4]}}