| Exam Board | Edexcel |
|---|---|
| Module | Paper 1 (Paper 1) |
| Year | 2022 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Point transformation under mapping |
| Difficulty | Moderate -0.8 This is a straightforward application of standard transformation rules requiring recall of how vertical/horizontal translations and stretches affect coordinates. Part (c) involves combining transformations but follows a mechanical procedure with no problem-solving or conceptual insight needed. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \((-2, -3)\) | B1 | Accept without brackets. May be written \(x = -2, y = -3\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \((-2, 5)\) | B1 | Accept without brackets. May be written \(x = -2, y = 5\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| Either \(x = 0\) or \(y = -13\) identified | M1 | For either coordinate correct, e.g. \((0, ...)\) or \((..., -13)\). If building up in stages e.g. \((-2,-5) \to (0,-5) \to (0,-15) \to (0,-13)\), only mark final coordinate pair |
| \((0, -13)\) | A1 | Accept without brackets. May be written \(x = 0, y = -13\). SC 10 for candidates who write \((-13, 0)\) |
## Question 1:
### Part (a)
| Answer | Mark | Guidance |
|--------|------|----------|
| $(-2, -3)$ | B1 | Accept without brackets. May be written $x = -2, y = -3$ |
### Part (b)
| Answer | Mark | Guidance |
|--------|------|----------|
| $(-2, 5)$ | B1 | Accept without brackets. May be written $x = -2, y = 5$ |
### Part (c)
| Answer | Mark | Guidance |
|--------|------|----------|
| Either $x = 0$ or $y = -13$ identified | M1 | For either coordinate correct, e.g. $(0, ...)$ or $(..., -13)$. If building up in stages e.g. $(-2,-5) \to (0,-5) \to (0,-15) \to (0,-13)$, only mark final coordinate pair |
| $(0, -13)$ | A1 | Accept without brackets. May be written $x = 0, y = -13$. SC 10 for candidates who write $(-13, 0)$ |
**Total: 4 marks**\begin{enumerate}
\item The point $P ( - 2 , - 5 )$ lies on the curve with equation $y = \mathrm { f } ( x ) , \quad x \in \mathbb { R }$
\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) $y = f ( x ) + 2$\\
(b) $y = | f ( x ) |$\\
(c) $y = 3 f ( x - 2 ) + 2$
\hfill \mbox{\textit{Edexcel Paper 1 2022 Q1 [4]}}