8.
\includegraphics[max width=\textwidth, alt={}, center]{9eff9a1d-7d5c-4cee-87c9-8811dad16ffb-18_680_942_118_651} The diagram shows the curve with equation \(y = 5 x ^ { 4 } + a x ^ { 3 } + b x\), where \(a\) and \(b\) are integers. The curve has a minimum at the point \(P\) where \(x = 2\). The shaded region is enclosed by the curve, the \(x\)-axis and the line \(x = 2\). Given that the area of the shaded region is 48 units \(^ { 2 }\), determine the \(y\)-coordinate of \(P\).
[0pt] [BLANK PAGE]