4.
\begin{figure}[h]
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\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{307d6e38-b8ca-4473-9f1a-94c8660c0d9c-006_689_920_292_511}
\end{figure}
Figure 1 shows a sketch of the curve with equation \(y = \mathrm { f } ( x )\). The curve passes through the origin \(O\) and through the point \(( 6,0 )\). The maximum point on the curve is \(( 3,5 )\).
On separate diagrams, sketch the curve with equation
- \(y = 3 \mathrm { f } ( x )\),
- \(y = \mathrm { f } ( x + 2 )\).
On each diagram, show clearly the coordinates of the maximum point and of each point at which the curve crosses the \(x\)-axis.