A quadratic function is given.
here we have the subsequent steps:
y = - ( x^2 +x + 1/4 - 1/4 -1)=
= - [(x+1/2)^2 -5/4]=
= -(x+1/2)^2 +5/4
h(x) = - (x +1/2)^2 + 5/4
then the maximum value is:
y_max = 5/4
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