1.1. (i) Find the roots of the function $g(x)=12+4x-{x}^{2}$.

(ii) Write down the y-axis intercept on the graph of $y=g(x)$.

1.2. (i) Write $g(x)$ in the form $a-(x-b{)}^{2}$, where a are b constants to be found.

(ii) Hence write down the coordinates of the turning point on the graph of $y=g(x)$.

1.3. Sketch the graph of $y=g(x)$, labelling all points where the graph intercepts the coordinate axes and the turning point.