5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{de511dda-d00f-4881-94c3-9ee643d10f3f-3_529_806_248_408}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve \(y = \mathrm { f } ( x )\) which has a maximum point at ( \(- 3,2\) ) and a minimum point at \(( 2 , - 4 )\).
- Showing the coordinates of any stationary points, sketch on separate diagrams the graphs of
- \(y = \mathrm { f } ( | x | )\),
- \(y = 3 \mathrm { f } ( 2 x )\).
- Write down the values of the constants \(a\) and \(b\) such that the curve with equation \(y = a + \mathrm { f } ( x + b )\) has a minimum point at the origin \(O\).