| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Find coordinates after transformation |
| Difficulty | Easy -1.2 This is a straightforward application of standard transformation rules requiring only recall of how vertical scaling affects y-coordinates and horizontal scaling affects x-coordinates. No problem-solving or conceptual insight needed—students simply apply memorized formulas: (i) y becomes -3/2, (ii) x becomes 2. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| (i) \((6, 1.5)\) oe | B2 | |
| [2] | B1 for each value; allow \(x = 6\), \(y = -1.5\) | SC0 for \((6, -3)\) |
| (ii) \((2, 3)\) | B2 | |
| [2] | B1 for each value; allow \(x = 2\), \(y = -3\) | SC0 for \((6, -3)\) |
Question 1:
(i) $(6, 1.5)$ oe | B2
[2] | B1 for each value; allow $x = 6$, $y = -1.5$ | SC0 for $(6, -3)$
(ii) $(2, 3)$ | B2
[2] | B1 for each value; allow $x = 2$, $y = -3$ | SC0 for $(6, -3)$1 The point $\mathrm { R } ( 6 , - 3 )$ is on the curve $y = \mathrm { f } ( x )$.\\
(i) Find the coordinates of the image of R when the curve is transformed to $y = \frac { 1 } { 2 } \mathrm { f } ( x )$.\\
(ii) Find the coordinates of the image of R when the curve is transformed to $y = \mathrm { f } ( 3 x )$.
\hfill \mbox{\textit{OCR MEI C2 Q1 [4]}}