1.1. Express $7+12x–3{x}^{2}$ in the form $a+b{(x+c)}^{2}$ where $a,b$ and$c$are integers.

1.2. $C$ is the curve with equation$y=7+12x–3{x}^{2}$
The point $A$ is the maximum point on $C$

Use your answer to part (a) to write down the coordinates of $A$