6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{1db60b49-1373-43d4-a74d-dfe8f9a952df-3_559_992_712_477}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve \(y = \mathrm { f } ( x )\) which has a minimum point at \(\left( - \frac { 3 } { 2 } , 0 \right)\), a maximum point at \(( 3,6 )\) and crosses the \(y\)-axis at \(( 0,4 )\).
Sketch each of the following graphs on separate diagrams. In each case, show the coordinates of any turning points and of any points where the graph meets the coordinate axes.
- \(y = \mathrm { f } ( | x | )\)
- \(y = 2 + \mathrm { f } ( x + 3 )\)
- \(\quad y = \frac { 1 } { 2 } \mathrm { f } ( - x )\)