| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2012 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Reflections |
| Difficulty | Easy -1.2 This is a straightforward C1 transformations question requiring only basic recall of reflection in the y-axis and vertical translation. Both transformations are standard textbook exercises with no problem-solving or novel insight required, making it easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Reflection of given graph in either axis | M1 | |
| Correct reflection in \(y\)-axis | A1 | Clear intention to show \((-2,1)\), \((0,0)\), \((2,2)\) by numbers, dashes or co-ordinates. A0 if significantly short or long |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Translation of given graph vertically (up or down) | M1 | |
| Correct translation of two units vertically | A1 | Clear intention to show \((-2,4)\), \((0,2)\), \((2,3)\) by numbers, dashes or co-ordinates. A0 if significantly short or long |
## Question 2(i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| Reflection of given graph in either axis | M1 | |
| Correct reflection in $y$-axis | A1 | Clear intention to show $(-2,1)$, $(0,0)$, $(2,2)$ by numbers, dashes or co-ordinates. **A0** if significantly short or long |
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## Question 2(ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| Translation of given graph vertically (up or down) | M1 | |
| Correct translation of two units vertically | A1 | Clear intention to show $(-2,4)$, $(0,2)$, $(2,3)$ by numbers, dashes or co-ordinates. **A0** if significantly short or long |
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\includegraphics[max width=\textwidth, alt={}, center]{559e9f1a-340e-4478-adaa-a7361dd70fe8-2_325_479_468_794}
The graph of $y = \mathrm { f } ( x )$ for $- 2 \leqslant x \leqslant 2$ is shown above.\\
(i) Sketch the graph of $y = \mathrm { f } ( - x )$ for $- 2 \leqslant x \leqslant 2$.\\
(ii) Sketch the graph of $y = \mathrm { f } ( x ) + 2$ for $- 2 \leqslant x \leqslant 2$.
\hfill \mbox{\textit{OCR C1 2012 Q2 [4]}}