Edexcel C3 2011 June — Question 3

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2011
SessionJune
TopicCurve Sketching
TypeSketch multiple separate transformations

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a0c2a69f-1196-4a07-a368-5dab3efaf316-04_460_725_260_607} \captionsetup{labelformat=empty} \caption{Figure 1}
\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
  1. \(y = 2 \mathrm { f } ( x + 4 )\),
  2. \(y = | \mathrm { f } ( - x ) |\). On each diagram, show the coordinates of the point corresponding to \(R\).