The diagram shows the graph of \(y=\mathrm{f}\left( x \right)\). The curve passes through the points \(\left( 5,0 \right)\) and \(\left( 0,0 \right)\) and has a minimum point at \(\left( a,-2 \right)\) where \(0 < a < 3\). The curve has asymptotes at \(x=-1\) and \(y=-3\).