Compare function properties across representations, especially quadratic comparisons.
Evaluate a function-comparison claim
Problem
Evaluate the claim that \(A\) has the greater maximum when \(\text{both}~\text{quadratics}\) open downward with vertices \((3,20)\) and \((5,16)\). Explain why the vertex \(y\text{-}\text{coordinates}\) are the maximum values, compare \(20\) and \(16\), and distinguish maximum height from its \(x\text{-}\text{location}\).
Big Picture
What this problem is really about
A comparison claim is supported only by evidence about the exact feature it names. We’ll use opening direction to interpret each vertex output as a maximum, compare those heights on the same scale, and treat the vertex inputs only as locations.
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