10.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e0ee09b1-25a2-4244-aa69-63e8f5b3543a-4_595_727_1119_493}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve with equation \(y = 2 + 3 x - x ^ { 2 }\) and the straight lines \(l\) and \(m\). The line \(l\) is the tangent to the curve at the point \(A\) where the curve crosses the \(y\)-axis.
- Find an equation for \(l\).
The line \(m\) is the normal to the curve at the point \(B\).
Given that \(l\) and \(m\) are parallel, - find the coordinates of \(B\).