| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2011 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Transformation effect on key points |
| Difficulty | Easy -1.2 This is a straightforward application of standard transformation rules for function graphs. Students need only recall that vertical stretches multiply y-coordinates and horizontal stretches divide x-coordinates, requiring no problem-solving or multi-step reasoning—purely procedural recall of basic C2 transformation facts. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| (i) \((3, 15)\) | B2 | B1 for each coordinate |
| (ii) \((1.5, 5)\) | B2 | B1 for each coordinate |
**Question 4:**
| Answer | Mark | Guidance |
|--------|------|----------|
| (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 $(3,5)$ |
---4 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 2011 Q4 [4]}}