9.
\begin{figure}[h]
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\caption{Figure 2}
\includegraphics[alt={},max width=\textwidth]{13c2bf9f-f87a-420c-8cdc-9deb688112ae-5_965_1120_324_356}
\end{figure}
Figure 2 shows the line with equation \(y = 9 - x\) and the curve with equation \(y = x ^ { 2 } - 2 x + 3\). The line and the curve intersect at the points \(A\) and \(B\), and \(O\) is the origin.
- Calculate the coordinates of \(A\) and the coordinates of \(B\).
The shaded region \(R\) is bounded by the line and the curve.
- Calculate the area of \(R\).