6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5abaa077-1da4-4023-b442-194f6972095b-16_652_835_292_616}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of the graph with equation
$$y = | 3 x - 5 a | - 2 a$$
where \(a\) is a positive constant.
The graph
- cuts the \(y\)-axis at the point \(P\)
- cuts the \(x\)-axis at the points \(Q\) and \(R\)
- has a minimum point at \(S\)
- Find, in simplest form in terms of \(a\), the coordinates of
- point \(P\)
- points \(Q\) and \(R\)
- point \(S\)
- Find, in simplest form in terms of \(a\), the values of \(x\) for which
$$| 3 x - 5 a | - 2 a = | x - 2 a |$$