3.
\includegraphics[max width=\textwidth, alt={}, center]{14ec6709-e1cb-42d7-af99-91365e50e4fc-1_535_810_877_406}
The diagram 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 \(O\).