2025 CGS PRELIMS P1 Q14

The graph shows part of the curve \(y=\dfrac{-3}{(2x-4)^{\frac{1}{3}}}\). The point \(P(-2, 1.5)\) lies on the curve and the normal to the curve at \(P\) meets the \(x\)-axis at \(Q\).

1. Find the coordinates of \(Q\).[5]
2. Find the area of the shaded region bounded by the curve, the normal \(PQ\) and the coordinate axes. Give your answer correct to 3 decimal places.[5]