| Exam Board | Edexcel |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2006 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Multiple transformation descriptions |
| Difficulty | Moderate -0.3 This is a standard C3 transformations question requiring students to apply three well-practiced transformations (vertical translation, modulus of function, modulus of x) to a given curve. While it requires careful attention to detail and understanding of transformation rules, these are routine techniques covered extensively in C3 with no novel problem-solving required. The transformations are straightforward applications of learned procedures, making it slightly easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.02x Combinations of transformations: multiple transformations |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| Shape unchanged | B1 | |
| Point \((2, 7)\) | B1 | (2) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| Shape correct | B1 | |
| Point \((2, 4)\) | B1 | (2) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| Shape correct | B1 | |
| Point \((2, 4)\) | B1 | |
| Point \((-2, 4)\) | B1 | (3) [7] |
# Question 1:
## Part (a)
| Answer/Working | Marks | Guidance |
|---|---|---|
| Shape unchanged | B1 | |
| Point $(2, 7)$ | B1 | **(2)** |
## Part (b)
| Answer/Working | Marks | Guidance |
|---|---|---|
| Shape correct | B1 | |
| Point $(2, 4)$ | B1 | **(2)** |
## Part (c)
| Answer/Working | Marks | Guidance |
|---|---|---|
| Shape correct | B1 | |
| Point $(2, 4)$ | B1 | |
| Point $(-2, 4)$ | B1 | **(3) [7]** |
---1.
\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{5cd53af1-bac9-4ed9-ac45-59ad2e372423-02_689_766_276_594}
\end{center}
\end{figure}
Figure 1 shows the graph of $y = \mathrm { f } ( x ) , - 5 \leqslant x \leqslant 5$.\\
The point $M ( 2,4 )$ is the maximum turning point of the graph.\\
Sketch, on separate diagrams, the graphs of
\begin{enumerate}[label=(\alph*)]
\item $y = \mathrm { f } ( x ) + 3$,
\item $y = | \mathrm { f } ( x ) |$,
\item $y = \mathrm { f } ( | x | )$.
Show on each graph the coordinates of any maximum turning points.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C3 2006 Q1 [7]}}