9 The point \(A ( 2,2 )\) lies on the curve \(y = x ^ { 2 } - 2 x + 2\).
- Find the equation of the tangent to the curve at \(A\).
The normal to the curve at \(A\) intersects the curve again at \(B\). - Find the coordinates of \(B\).
The tangents at \(A\) and \(B\) intersect each other at \(C\). - Find the coordinates of \(C\).