1.1. The curve $C$ has equation $y=f(x)$ where $f(x)=9–3{(x+2)}^{2}$

The point $A$ is the maximum point on $C$.

Write down the coordinates of $A$.

1.2. The curve $C$ is transformed to the curve $S$ by a translation of $(\begin{matrix}4\\0\end{matrix})$ Find an equation for the curve $S$.

1.3. The curve $C$ is transformed to the curve $T$.
The curve $T$ has equation $y=3{(x+2)}^{2}–9$

Describe fully the transformation that maps curve $C$ onto curve $T$.