Question 480891
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi
Using the vertex form of a parabola, {{{y=a(x-h)^2 +k}}} where(h,k) is the vertex
f(x)= -2x^2+2x+3
f(x)=-2[x^2-x]+3
f(x)=-2[(x-.5)^2 - .25] +3
f(x)=-2[(x-.5)^2 +.5 +3
f(x)=-2[(x-.5)^2 + 3.5  V(.5,3.5), Line of symmetry x = .5
  a = -2 < 0, parabola opens downward, vertex a maxixmum Pt F(x) = 3.5
{{{drawing(300,300,   -6, 6, -6, 6,  blue(line(.5,6,.5,-6))  , grid(1),
circle(.5, 3.5,0.3),
graph( 300, 300, -6, 6, -6, 6,0,-2x^2+2x+3))}}}