Hi

Using the vertex form of a parabola,  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



 

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