2026 IGCSE Additional Mathematics May/June 0606/22 Q1

The point \(A\) is the minimum point on the curve \(y=x^2-6x+10\).

1. Using the method of completing the square, find the coordinates of \(A\).[2]
2. The point \(B\) has coordinates \((6,7)\).
   The curve cuts the \(y\)-axis at the point \(C\).
   Find the equation of the line through \(B\) parallel to the line \(AC\).[2]