For $y = -x^2 + 4x + 5$, complete the square. Hence state the maximum value, its $x$-coordi

Question

For $y = -x^2 + 4x + 5$, complete the square. Hence state the maximum value, its $x$-coordinate, the axis of symmetry and both roots.[5]

Accepted Answer

$-(x-2)^2+9$; Maximum value $9$ at $x=2$; Axis of symmetry $x=2$; roots $x=-1,\ 5$.

Functions and Graphs