9. The curve \(C\) has the equation \(y = x ^ { 2 } + 2 x + 4\).
- Express \(x ^ { 2 } + 2 x + 4\) in the form \(a ( x + b ) ^ { 2 } + c\) and hence state the coordinates of the minimum point of \(C\).
The straight line \(l\) has the equation \(x + y = 8\).
- Sketch \(l\) and \(C\) on the same set of axes.
- Find the coordinates of the points where \(I\) and \(C\) intersect.