- Given that
$$\mathrm { f } ( x ) = x ^ { 2 } - 4 x + 5 \quad x \in \mathbb { R }$$
- express \(\mathrm { f } ( x )\) in the form \(( x + a ) ^ { 2 } + b\) where \(a\) and \(b\) are integers to be found.
The curve with equation \(y = \mathrm { f } ( x )\)
- meets the \(y\)-axis at the point \(P\)
- has a minimum turning point at the point \(Q\)
- Write down
- the coordinates of \(P\)
- the coordinates of \(Q\)