8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f1bb296f-afb2-43cd-9408-2114d7b66971-09_487_743_210_603}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the curve \(C\) with equation \(y = \mathrm { f } ( x )\).
The curve \(C\) passes through the origin and through \(( 6,0 )\).
The curve \(C\) has a minimum at the point \(( 3 , - 1 )\).
On separate diagrams, sketch the curve with equation
- \(y = \mathrm { f } ( 2 x )\),
- \(y = - \mathrm { f } ( x )\),
- \(y = \mathrm { f } ( x + p )\), where \(p\) is a constant and \(0 < p < 3\).
On each diagram show the coordinates of any points where the curve intersects the \(x\)-axis and of any minimum or maximum points.