Determine the vertex of the graph of the quadratic function

Determine the vertex of the graph of the quadratic function

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f(x) = x^2 + x +5/4
= x^2 +2*x*(1/2) + 1/4 + 1
= (x+1/2)^2 + 1

hence vertex is: (-1/2 , 1)

Determine the vertex of the graph of the quadratic function Solutionf(x) = x^2 + x +5/4 = x^2 +2*x*(1/2) + 1/4 + 1 = (x+1/2)^2 + 1 hence vertex is: (-1/2 , 1)

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