Edexcel C3 2006 January — Question 1

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2006
SessionJanuary
TopicCurve Sketching
TypeSketch multiple separate transformations

1. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{5cd53af1-bac9-4ed9-ac45-59ad2e372423-02_689_766_276_594}
\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
  1. \(y = \mathrm { f } ( x ) + 3\),
  2. \(y = | \mathrm { f } ( x ) |\),
  3. \(y = \mathrm { f } ( | x | )\). Show on each graph the coordinates of any maximum turning points.