- (a) Express \(3 x ^ { 2 } + 12 x + 13\) in the form
$$a ( x + b ) ^ { 2 } + c$$
where \(a\), \(b\) and \(c\) are integers to be found.
(b) Hence sketch the curve with equation \(y = 3 x ^ { 2 } + 12 x + 13\)
On your sketch show clearly
- the coordinates of the \(y\) intercept
- the coordinates of the turning point of the curve