| Exam Board | Edexcel |
|---|---|
| Module | P3 (Pure Mathematics 3) |
| Year | 2024 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Forward transformation (single point, multiple transformations) |
| Difficulty | Moderate -0.8 This is a straightforward application of standard transformation rules requiring only recall and substitution. Each part involves a single, well-known transformation (horizontal stretch, combined horizontal translation and vertical stretch, reflection of negative values). No problem-solving or conceptual insight is needed—students simply apply memorized formulas to transform the coordinates. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \((-2, -3)\) | B1 | Allow \(x = -2\), \(y = -3\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| One correct coordinate | B1 | May be seen as part of a coordinate pair or written separately as \(x = -3\) or \(y = -9\) |
| \((-3, -9)\) | B1 | Allow \(x = -3\), \(y = -9\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \((-4, 3)\) | B1 | Allow \(x = -4\), \(y = 3\) |
# Question 1:
## Part (a)
| Answer | Mark | Guidance |
|--------|------|----------|
| $(-2, -3)$ | B1 | Allow $x = -2$, $y = -3$ |
## Part (b)
| Answer | Mark | Guidance |
|--------|------|----------|
| One correct coordinate | B1 | May be seen as part of a coordinate pair or written separately as $x = -3$ or $y = -9$ |
| $(-3, -9)$ | B1 | Allow $x = -3$, $y = -9$ |
## Part (c)
| Answer | Mark | Guidance |
|--------|------|----------|
| $(-4, 3)$ | B1 | Allow $x = -4$, $y = 3$ |
---\begin{enumerate}
\item The point $P ( - 4 , - 3 )$ lies on the curve with equation $y = \mathrm { f } ( x ) , x \in \mathbb { R }$
\end{enumerate}
Find the point to which $P$ is mapped when the curve with equation $y = \mathrm { f } ( x )$ is transformed to the curve with equation\\
(a) $y = \mathrm { f } ( 2 x )$\\
(b) $y = 3 \mathrm { f } ( x - 1 )$\\
(c) $y = | f ( x ) |$
\hfill \mbox{\textit{Edexcel P3 2024 Q1 [4]}}