7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{dc0ac5df-24a7-41b5-8410-f0e9b332ba64-16_868_805_242_632}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of a curve \(C\) with equation \(y = \mathrm { f } ( x )\) and a straight line \(l\).
The curve \(C\) meets \(l\) at the points \(( - 2,13 )\) and \(( 0,25 )\) as shown.
The shaded region \(R\) is bounded by \(C\) and \(l\) as shown in Figure 1.
Given that
- \(\mathrm { f } ( x )\) is a quadratic function in \(x\)
- ( \(- 2,13\) ) is the minimum turning point of \(y = \mathrm { f } ( x )\)
use inequalities to define \(R\).