Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Read a quadratic extremum into separate fields
Problem
Read the extremum from \(f(x)=(x-2)^{2}-6\).
Big Picture
What this problem is really about
An extremum record separates three related facts: its type, the input where it occurs, and the output attained there. We’ll read the vertex from completed-square form, use the scale factor’s sign for the opening, and turn that bound into the correct range endpoint.
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