A plot of the curve $y = x^2$ with the point $P = (4,16)$. The tangent to the curve at $P$ intersects the $x$-axis at $Q$. The area bounded by the curve, the $x$-axis, and the tangent is labelled.

The figure shows part of the curve \(y = x^2\). \(PQ\) is the tangent to this curve at \(P\).


  1. the coordinates of \(Q\),
  2. the area of the shaded region.