You can put this solution on YOUR website! Find the
vertex
line of symmetry
maximum or minimum value
graph the function
f(x)=-2x^2+2x+2
**
f(x)=-2x^2+2x+2
completing the square
f(x)=-2(x^2-x+1/4)+2+1/2
f(x)=-2(x-1/2)^2+1/2
This is an equation of a parabola of standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. The negative coefficient of the leading term means the curve opens downward, that is, there is a maximum. A is a multiplier which affects the steepness of the curve.
vertex: (1/2,5/2)
line of symmetry: x=1/2
maximum value: 5/2
See graph below as a visual check on the answers:
..
(