4.
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{909b52e5-2f16-4eab-b691-9d8fcf9bcfd9-3_604_1408_868_269}
\end{figure}
Figure 1 shows a sketch of the curve with equation \(y = \mathrm { f } ( x ) , - 1 \leq x \leq 3\). The curve touches the \(x\)-axis at the origin \(O\), crosses the \(x\)-axis at the point \(A ( 2,0 )\) and has a maximum at the point \(B \left( \frac { 4 } { 3 } , 1 \right)\).
In separate diagrams, show a sketch of the curve with equation
- \(y = \mathrm { f } ( x + 1 )\),
- \(y = | \mathrm { f } ( x ) |\),
- \(y = \mathrm { f } ( | x | )\),
marking on each sketch the coordinates of points at which the curve
- has a turning point,
- meets the \(x\)-axis.