6 The equation of a curve is \(y = x ^ { 2 } - 8 x + 5\).
- Find the coordinates of the minimum point of the curve.
The curve is stretched by a factor of 2 parallel to the \(y\)-axis and then translated by \(\binom { 4 } { 1 }\). - Find the coordinates of the minimum point of the transformed curve.
- Find the equation of the transformed curve. Give the answer in the form \(y = a x ^ { 2 } + b x + c\), where \(a , b\) and \(c\) are integers to be found.