vertex for the graph of the quadratic function f(x)=1/4(x+2)^2-9
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This function has a minimum value when x=-2: f(x)=-9, then the vertex is the minimum point (-2,-9). It's because (x+2)^2 is always positive no matter what x is, so apart from x+2=0 (x=-2), f(x) will always be greater than -9.

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