| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Easy -1.2 This is a straightforward C1 question testing basic function transformations with minimal problem-solving required. Part (i) is reflection in x-axis, part (ii) is simple vertical stretch calculation (1,1)→(1,3), and part (iii) is standard recall of horizontal translation. All are routine textbook exercises requiring only direct application of transformation rules. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| M1 | Reflection in either axis | |
| A1 [2] | Correct reflection in \(x\)-axis |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| \((1, 3)\) | B1, B1 [2] | Correct \(x\) coordinate; Correct \(y\) coordinate. SR B1 for \((3,1)\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| Translation, 2 units in negative \(x\) direction | B1, B1 [2+2+2=6] |
## Question 5:
### Part (i):
| Answer/Working | Marks | Guidance |
|---|---|---|
| | M1 | Reflection in either axis |
| | A1 [2] | Correct reflection in $x$-axis |
### Part (ii):
| Answer/Working | Marks | Guidance |
|---|---|---|
| $(1, 3)$ | B1, B1 [2] | Correct $x$ coordinate; Correct $y$ coordinate. **SR** B1 for $(3,1)$ |
### Part (iii):
| Answer/Working | Marks | Guidance |
|---|---|---|
| Translation, 2 units in negative $x$ direction | B1, B1 [2+2+2=6] | |
---5\\
\includegraphics[max width=\textwidth, alt={}, center]{82ae6eec-3007-467c-90df-18f2adb9ccb1-2_634_926_1242_612}
The graph of $y = \mathrm { f } ( x )$ for $- 1 \leqslant x \leqslant 4$ is shown above.\\
(i) Sketch the graph of $y = - \mathrm { f } ( x )$ for $- 1 \leqslant x \leqslant 4$.\\
(ii) The point $P ( 1,1 )$ on $y = \mathrm { f } ( x )$ is transformed to the point $Q$ on $y = 3 \mathrm { f } ( x )$. State the coordinates of $Q$.\\
(iii) Describe the transformation which transforms the graph of $y = \mathrm { f } ( x )$ to the graph of $y = \mathrm { f } ( x + 2 )$.
\hfill \mbox{\textit{OCR C1 2007 Q5 [6]}}