| Exam Board | AQA |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2021 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Asymptotes after transformation |
| Difficulty | Easy -1.3 This is a straightforward recall question on graph transformations requiring only knowledge that horizontal translation by vector [3,0] replaces x with (x-3), giving y=1/(x-3) with asymptotes x=3 and y=0. No problem-solving or multi-step reasoning required—purely routine application of a standard transformation rule. |
| Spec | 1.02o Sketch reciprocal curves: y=a/x and y=a/x^21.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks |
|---|---|
| 3(a) | Writes the correct equation |
| Answer | Marks | Guidance |
|---|---|---|
| ISW after correct answer. | 1.1b | B1 |
| Subtotal | 1 | 𝑦𝑦 = |
| Answer | Marks | Guidance |
|---|---|---|
| Q | Marking instructions | AO |
| Answer | Marks | Guidance |
|---|---|---|
| 3(b) | Deduces correct equation of | |
| vertical asymptote | 2.2a | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| horizontal asymptote | 1.2 | B1 |
| Subtotal | 2 | |
| Question Total | 3 | |
| Q | Marking instructions | AO |
Question 3:
--- 3(a) ---
3(a) | Writes the correct equation
ACF. Condone omission of y =.
ISW after correct answer. | 1.1b | B1 | 1
Subtotal | 1 | 𝑦𝑦 =
𝑥𝑥 −3
Q | Marking instructions | AO | Marks | Typical solution
--- 3(b) ---
3(b) | Deduces correct equation of
vertical asymptote | 2.2a | B1 | x = 3
y = 0
Recalls correct equation of
horizontal asymptote | 1.2 | B1
Subtotal | 2
Question Total | 3
Q | Marking instructions | AO | Marks | Typical solutionThe graph of the equation $y = \frac{1}{x}$ is translated by the vector $\begin{bmatrix}3\\0\end{bmatrix}$
\begin{enumerate}[label=(\alph*)]
\item Write down the equation of the transformed graph.
[1 mark]
\item State the equations of the asymptotes of the transformed graph.
[2 marks]
\end{enumerate}
\hfill \mbox{\textit{AQA AS Paper 1 2021 Q3 [3]}}