| Exam Board | Edexcel |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2011 |
| Session | June |
| Marks | 6 |
| 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 application of well-practiced rules (horizontal translation, vertical stretch, reflection, and modulus). While it involves multiple transformations and requires careful tracking of coordinates through each step, these are routine procedures covered extensively in the specification with no novel problem-solving required. |
| Spec | 1.02w Graph transformations: simple transformations of f(x)1.02x Combinations of transformations: multiple transformations |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| V shape | B1 | |
| Vertex on \(y\) axis and both branches of graph cross \(x\) axis | B1 | |
| \(y\)-coordinate of R is \(-6\), i.e. \((0,-6)\) | B1 | |
| (3) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| W shape | B1 | |
| 2 vertices on the negative \(x\) axis, W in both quad 1 & quad 2 | B1dep | |
| \(R''=(-4,3)\) | B1 | |
| (3) | 6 Marks |
# Question 3:
## Part (a)
| Answer/Working | Marks | Guidance |
|---|---|---|
| V shape | B1 | |
| Vertex on $y$ axis and both branches of graph cross $x$ axis | B1 | |
| $y$-coordinate of R is $-6$, i.e. $(0,-6)$ | B1 | |
| | (3) | |
## Part (b)
| Answer/Working | Marks | Guidance |
|---|---|---|
| W shape | B1 | |
| 2 vertices on the negative $x$ axis, W in both quad 1 & quad 2 | B1dep | |
| $R''=(-4,3)$ | B1 | |
| | (3) | **6 Marks** |
---3.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{a0c2a69f-1196-4a07-a368-5dab3efaf316-04_460_725_260_607}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
Figure 1 shows part of the graph of $y = \mathrm { f } ( x ) , x \in \mathbb { R }$.
The graph consists of two line segments that meet at the point $R ( 4 , - 3 )$, as shown in Figure 1.
Sketch, on separate diagrams, the graphs of
\begin{enumerate}[label=(\alph*)]
\item $y = 2 \mathrm { f } ( x + 4 )$,
\item $y = | \mathrm { f } ( - x ) |$.
On each diagram, show the coordinates of the point corresponding to $R$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C3 2011 Q3 [6]}}