6 The equation of a curve is \(y = 4 x ^ { 2 } + 20 x + 6\).
- Express the equation in the form \(y = a ( x + b ) ^ { 2 } + c\), where \(a\), \(b\) and \(c\) are constants.
- Hence solve the equation \(4 x ^ { 2 } + 20 x + 6 = 45\).
- Sketch the graph of \(y = 4 x ^ { 2 } + 20 x + 6\) showing the coordinates of the stationary point. You are not required to indicate where the curve crosses the \(x\) - and \(y\)-axes.