| Exam Board | AQA |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2023 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Stationary points after transformation |
| Difficulty | Easy -1.3 This is a straightforward recall question on function transformations requiring only knowledge of standard translation and stretch rules. Each part involves direct application of a single transformation rule with no problem-solving or multi-step reasoning needed—significantly easier than average A-level questions. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| 7(a) | States correct coordinate | |
| Condone no brackets | 1.1b | B1 |
| Subtotal | 1 | |
| Q | Marking instructions | AO |
| Answer | Marks | Guidance |
|---|---|---|
| 7(b) | States correct coordinates | |
| Condone no brackets | 1.1b | B1 |
| Subtotal | 1 | |
| Q | Marking instructions | AO |
| Answer | Marks | Guidance |
|---|---|---|
| 7(c) | States correct scale factor | 1.1b |
| Answer | Marks | Guidance |
|---|---|---|
| Subtotal | 1 | |
| Question 7 Total | 3 | |
| Q | Marking instructions | AO |
Question 7:
--- 7(a) ---
7(a) | States correct coordinate
Condone no brackets | 1.1b | B1 | (a – 2, 2b)
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical Solution
--- 7(b) ---
7(b) | States correct coordinates
Condone no brackets | 1.1b | B1 | (a, 8b)
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical Solution
--- 7(c) ---
7(c) | States correct scale factor | 1.1b | B1 | 1
3
Subtotal | 1
Question 7 Total | 3
Q | Marking instructions | AO | Marks | Typical solutionThe curve C has equation $y = f(x)$
C has a maximum point at P with coordinates $(a, 2b)$ as shown in the diagram below.
\includegraphics{figure_7}
\begin{enumerate}[label=(\alph*)]
\item C is mapped by a single transformation onto curve $C_1$ with equation $y = f(x + 2)$
State the coordinates of the maximum point on curve $C_1$ [1 mark]
\item C is mapped by a single transformation onto curve $C_2$ with equation $y = 4f(x)$
State the coordinates of the maximum point on curve $C_2$ [1 mark]
\item C is mapped by a stretch in the $x$-direction onto curve $C_3$ with equation $y = f(3x)$
State the scale factor of the stretch. [1 mark]
\end{enumerate}
\hfill \mbox{\textit{AQA AS Paper 2 2023 Q7 [3]}}