Compare function properties across representations, especially quadratic comparisons.
Compare two quadratic vertex records
Problem
Compare these quadratics by vertex: \(A(x)=(x-2)^{2}+3\); \(B(x)=-(x-5)^{2}+8\).
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What this problem is really about
A vertex comparison has separate horizontal, vertical, and extremum-type dimensions. We’ll read each vertex from its form, use the squared-term sign to classify its extremum, compare both coordinates, and avoid ranking a minimum against a maximum as though they were the same property.
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