5.
$$f ( x ) = x ^ { 2 } - 10 x + 17$$
- Express \(\mathrm { f } ( x )\) in the form \(a ( x + b ) ^ { 2 } + c\).
- State the coordinates of the minimum point of the curve \(y = \mathrm { f } ( x )\).
- Deduce the coordinates of the minimum point of each of the following curves:
- \(y = \mathrm { f } ( x ) + 4\),
- \(y = \mathrm { f } ( 2 x )\).