| Exam Board | CAIE |
|---|---|
| Module | P1 (Pure Mathematics 1) |
| Year | 2020 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Describe transformation from graph |
| Difficulty | Moderate -0.8 This is a straightforward graph transformation identification question requiring students to recognize basic transformations (translations, reflections, stretches) by comparing two graphs. While it requires understanding of transformation notation, it involves direct visual pattern recognition rather than calculation or problem-solving, making it easier than average A-level questions. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks |
|---|---|
| 3(a): \((y) = f(-x)\) | B1 |
| 3(b): \((y) = 2f(x)\) | B1 |
| 3(c): \((y) = f(x+4) - 3\) | B1 B1 |
## Question 3:
**3(a):** $(y) = f(-x)$ | B1 |
**3(b):** $(y) = 2f(x)$ | B1 |
**3(c):** $(y) = f(x+4) - 3$ | B1 B1 |
---3 In each of parts (a), (b) and (c), the graph shown with solid lines has equation $y = \mathrm { f } ( x )$. The graph shown with broken lines is a transformation of $y = \mathrm { f } ( x )$.
\begin{enumerate}[label=(\alph*)]
\item \\
\includegraphics[max width=\textwidth, alt={}, center]{aa4c496d-ce5f-4f46-ad37-d901644a9e7c-04_412_645_367_788}
State, in terms of f , the equation of the graph shown with broken lines.
\item \\
\includegraphics[max width=\textwidth, alt={}, center]{aa4c496d-ce5f-4f46-ad37-d901644a9e7c-04_650_423_1046_900}
State, in terms of f , the equation of the graph shown with broken lines.
\item \\
\includegraphics[max width=\textwidth, alt={}, center]{aa4c496d-ce5f-4f46-ad37-d901644a9e7c-04_550_631_1975_804}
State, in terms of f , the equation of the graph shown with broken lines.
\end{enumerate}
\hfill \mbox{\textit{CAIE P1 2020 Q3 [4]}}