(a) Express \(x^2 + 6x + 5\) in the form \((x + a)^2 + b\), where \(a\) and \(b\) are constants.

(b) The curve with equation \(y = x^2\) is transformed to the curve with equation \(y = x^2 + 6x + 5\). Describe fully the transformation(s) involved.