Answer:
2
Step-by-step explanation:
The maximum (since this is a downward opening parabola ) is at the axis of symmetry
The axis of symmetry is at
h = -b/2a where a is the x^2 coefficient and b is the x coefficient
= -2/(2*-1)
-2/-2
= 1
The maximum occurs at x=1
Substitute this into the equation to find the maximum value
y = -(1)^2 +2(1) +1
=-1+2+1
= 2
