Express \(16 - 6 x - x ^ { 2 }\) in the form \(p - ( x + q ) ^ { 2 }\) where \(p\) and \(q\) are integers.
Hence write down the maximum value of \(16 - 6 x - x ^ { 2 }\).
Factorise \(16 - 6 x - x ^ { 2 }\).
Sketch the curve with equation \(y = 16 - 6 x - x ^ { 2 }\), stating the values of \(x\) where the curve crosses the \(x\)-axis and the value of the \(y\)-intercept. [0pt]
[3 marks]