8
\includegraphics[max width=\textwidth, alt={}, center]{88c7a3f3-e129-4e9c-acf8-8c96d2668d43-10_515_936_274_577}
The diagram shows part of the graph of \(y = \sin ( a ( x + b ) )\), where \(a\) and \(b\) are positive constants.
- State the value of \(a\) and one possible value of \(b\).
Another curve, with equation \(y = \mathrm { f } ( x )\), has a single stationary point at the point \(( p , q )\), where \(p\) and \(q\) are constants. This curve is transformed to a curve with equation
$$y = - 3 f \left( \frac { 1 } { 4 } ( x + 8 ) \right) .$$ - For the transformed curve, find the coordinates of the stationary point, giving your answer in terms of \(p\) and \(q\).