Edexcel C3 2008 January — Question 4

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2008
SessionJanuary
TopicModulus function

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a15db39c-d54b-4cf4-8da7-01f3db223415-05_735_1171_223_390} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of the curve with equation \(y = \mathrm { f } ( x )\).
The curve passes through the origin \(O\) and the points \(A ( 5,4 )\) and \(B ( - 5 , - 4 )\).
In separate diagrams, sketch the graph with equation
  1. \(y = | f ( x ) |\),
  2. \(y = \mathrm { f } ( | x | )\),
  3. \(y = 2 f ( x + 1 )\). On each sketch, show the coordinates of the points corresponding to \(A\) and \(B\).