| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Forward transformation (single point, multiple transformations) |
| Difficulty | Moderate -0.8 Part (i) is a straightforward application of horizontal stretch transformation rules (x-coordinate becomes 4/5, y-coordinate unchanged). Part (ii) requires recognizing a horizontal translation of 90° to the right. Both are standard textbook exercises requiring direct recall of transformation rules with minimal problem-solving. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks |
|---|---|
| (i) \((0.8, 2)\) oe | 2 marks |
| Answer | Marks |
|---|---|
| (ii) Translation \(\begin{pmatrix} 90 \\ 0 \end{pmatrix}\) oe | 2 marks |
Question 8:
(i) $(0.8, 2)$ oe | 2 marks
B1 each coordinate
SC0 for $(4, -2)$
(ii) Translation $\begin{pmatrix} 90 \\ 0 \end{pmatrix}$ oe | 2 marks
B1
B1
or eg 270 to left
allow B2 for rotation through $180°$ about $(45, 0)$ oe8 (i) The point $\mathrm { P } ( 4 , - 2 )$ lies on the curve $y = \mathrm { f } ( x )$. Find the coordinates of the image of P when the curve is transformed to $y = \mathrm { f } ( 5 x )$.\\
(ii) Describe fully a single transformation which maps the curve $y = \sin x ^ { \circ }$ onto the curve $y = \sin ( x - 90 ) ^ { \circ }$.
\hfill \mbox{\textit{OCR MEI C2 Q8 [4]}}