Edexcel C3 2009 January — Question 3

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2009
SessionJanuary
TopicCurve Sketching
TypeSketch multiple separate transformations

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{502d98be-7013-4ce6-816b-27c671944503-04_767_913_246_511} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows the graph of \(y = \mathrm { f } ( x ) , \quad 1 < x < 9\).
The points \(T ( 3,5 )\) and \(S ( 7,2 )\) are turning points on the graph.
Sketch, on separate diagrams, the graphs of
  1. \(y = 2 \mathrm { f } ( x ) - 4\),
  2. \(y = | \mathrm { f } ( x ) |\). Indicate on each diagram the coordinates of any turning points on your sketch.