| Exam Board | Edexcel |
|---|---|
| Module | C12 (Core Mathematics 1 & 2) |
| Year | 2017 |
| Session | October |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Forward transformation (single point, multiple transformations) |
| Difficulty | Easy -1.3 This is a straightforward recall question testing basic function transformation rules. Students need only apply the standard horizontal translation rule (x+2 means shift left 2 units) to find (0,3). It requires minimal steps, no problem-solving, and is a routine textbook exercise testing memorized transformation rules. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Part | Answer | Marks |
| (a) | \((0, 3)\) | B1 |
| (b) | \((2, -3)\) | B1 |
| (c) | \((2, 1.5)\) oe | B1 |
| (d) | \((2, -1)\) | B1 |
## Question 2:
| Part | Answer | Marks | Guidance |
|------|--------|-------|----------|
| (a) | $(0, 3)$ | B1 | Condone omission of brackets. Allow $x=..., y=...$ |
| (b) | $(2, -3)$ | B1 | If options given, attempt one $=(0,3)$, attempt two $=(2,5)$, award B0 |
| (c) | $(2, 1.5)$ oe | B1 | If no labelling, mark (a) as first seen, (b) as second seen etc unless obvious |
| (d) | $(2, -1)$ | B1 | |
---2. The point $P ( 2,3 )$ lies on the curve with equation $y = \mathrm { f } ( x )$.
State the coordinates of the image of $P$ under the transformation represented by the curve with equation
\begin{enumerate}[label=(\alph*)]
\item $y = \mathrm { f } ( x + 2 )$
\item $y = - \mathrm { f } ( x )$
\item $2 y = f ( x )$
\item $y = \mathrm { f } ( x ) - 4$
\\
State the coordinates of the image of $P$ under the transformation represented by the curve\\
with equation (a) $y = \mathrm { f } ( x + 2 )$
\end{enumerate}
\hfill \mbox{\textit{Edexcel C12 2017 Q2 [4]}}