| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2014 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Forward transformation (single point, multiple transformations) |
| Difficulty | Easy -1.3 This is a straightforward recall question on basic function transformations requiring no problem-solving. Students simply apply standard transformation rules: vertical shift adds to y-coordinate, horizontal stretch affects x-coordinate, and translation description is textbook knowledge. All three parts are routine C1 exercises with minimal computational demand. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| i) \((2, 7)\) | B1 [1] | |
| ii) \((1, 5)\) | B1 [1] | |
| iii) Translation \(-4\) units parallel to the \(x\) axis | B1, B1 [2] | Translation. Correct description e.g. correct vector (not as a coordinate), "4 units to the left". Do not allow second B1 after incorrect type of transformation e.g. stretch/rotation etc. but allow after shift/move etc. Do not accept "in/on/across/up/along/to/towards the \(x\) axis". Do not accept "factor 4" etc. Allow extra if not incorrect. |
**i)** $(2, 7)$ | B1 [1] |
**ii)** $(1, 5)$ | B1 [1] |
**iii)** Translation $-4$ units parallel to the $x$ axis | B1, B1 [2] | Translation. Correct description e.g. correct vector (not as a coordinate), "4 units to the left". Do not allow second B1 after incorrect type of transformation e.g. stretch/rotation etc. but allow after shift/move etc. Do not accept "in/on/across/up/along/to/towards the $x$ axis". Do not accept "factor 4" etc. Allow extra if not incorrect.The curve $y = \text{f}(x)$ passes through the point $P$ with coordinates $(2, 5)$.
\begin{enumerate}[label=(\roman*)]
\item State the coordinates of the point corresponding to $P$ on the curve $y = \text{f}(x) + 2$. [1]
\item State the coordinates of the point corresponding to $P$ on the curve $y = \text{f}(2x)$. [1]
\item Describe the transformation that transforms the curve $y = \text{f}(x)$ to the curve $y = \text{f}(x + 4)$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR C1 2014 Q4 [4]}}