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Write the quadratic function in standard form (if necessary) and sketch its graph.

Identify the vertex.

f(x)=x^2+3x+1/4

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y = x^2 + 3x + 1/4
= x^2 + 3x + (3/2)^2 + 1/4 - (3/2)^2
= (x + 3/2)^2 - 2

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