4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6a5d0ffc-a725-404b-842a-f3b6000e6fed-10_583_866_260_539}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
The points \(P\) and \(Q\), as shown in Figure 2, have coordinates ( \(- 2,13\) ) and ( \(4 , - 5\) ) respectively.
The straight line \(l\) passes through \(P\) and \(Q\).
- Find an equation for \(l\), writing your answer in the form \(y = m x + c\), where \(m\) and \(c\) are integers to be found.
The quadratic curve \(C\) passes through \(P\) and has a minimum point at \(Q\).
- Find an equation for \(C\).
The region \(R\), shown shaded in Figure 2, lies in the second quadrant and is bounded by \(C\) and \(l\) only.
- Use inequalities to define region \(R\).
\includegraphics[max width=\textwidth, alt={}, center]{6a5d0ffc-a725-404b-842a-f3b6000e6fed-11_2255_50_314_34}
| VIXV SIHIANI III IM IONOO | VIAV SIHI NI JYHAM ION OO | VI4V SIHI NI JLIYM ION OO |