| Exam Board | Edexcel |
|---|---|
| Module | Paper 2 (Paper 2) |
| Year | 2024 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Forward transformation (single point, multiple transformations) |
| Difficulty | Easy -1.2 This is a straightforward application of standard function transformation rules requiring only recall and direct substitution. Each part involves a single transformation type (horizontal shift, horizontal stretch, combined reflection/vertical stretch/shift) with no problem-solving or conceptual insight needed—purely mechanical application of memorized rules. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \((5, -2)\) | B1 | Coordinates must be values, not a calculation; condone missing brackets, missing comma, semicolon, vector notation |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \((1.5, -2)\) | B1 | See general guidelines above |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \((-3, \ldots)\) or \((\ldots, -1)\) or \(x=-3\) or \(y=-1\) | B1 | One correct coordinate |
| \((-3, -1)\) | B1 | Both coordinates correct; note B0B1 not a possible mark profile |
## Question 3:
**Part (i):**
| Answer/Working | Mark | Guidance |
|---|---|---|
| $(5, -2)$ | B1 | Coordinates must be values, not a calculation; condone missing brackets, missing comma, semicolon, vector notation |
**Part (ii):**
| Answer/Working | Mark | Guidance |
|---|---|---|
| $(1.5, -2)$ | B1 | See general guidelines above |
**Part (iii):**
| Answer/Working | Mark | Guidance |
|---|---|---|
| $(-3, \ldots)$ or $(\ldots, -1)$ or $x=-3$ or $y=-1$ | B1 | One correct coordinate |
| $(-3, -1)$ | B1 | Both coordinates correct; note B0B1 not a possible mark profile |
---\begin{enumerate}
\item The point $P ( 3 , - 2 )$ lies on the curve with equation $y = \mathrm { f } ( x ) , x \in \mathbb { R }$
\end{enumerate}
Find the coordinates of the point to which $P$ is mapped when the curve with equation $y = \mathrm { f } ( x )$ is transformed to the curve with equation\\
(i) $y = \mathrm { f } ( x - 2 )$\\
(ii) $y = \mathrm { f } ( 2 x )$\\
(iii) $y = 3 \mathrm { f } ( - x ) + 5$
\hfill \mbox{\textit{Edexcel Paper 2 2024 Q3 [4]}}