7 The graphs with equations
$$y = 2 + 3 x - 2 x ^ { 2 } \text { and } x + y = 1$$
are shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{deec0d32-b031-4227-bc80-7150a0acbc94-10_791_721_550_719}
The graphs intersect at the points \(A\) and \(B\)
7
- On the diagram above, shade and label the region, \(R\), that is satisfied by the inequalities
$$0 \leq y \leq 2 + 3 x - 2 x ^ { 2 }$$
and
$$x + y \geq 1$$
7
- Find the exact coordinates of \(A\)