Compare function properties across representations, especially quadratic comparisons.
Choose which function better fits a maximize-or-minimize goal by comparing extrema
Problem
For the goal of maximizing revenue, compare function \(A\) with maximum vertex \((10,200)\) and function \(B\) with maximum vertex \((12,180)\). Interpret the \(y\text{-}\text{coordinate}\) as maximum revenue, compare \(200\) and \(180\), and explain why the \(x\text{-}\text{coordinate}\) does not determine the larger maximum.
Big Picture
What this problem is really about
A goal-based comparison begins by identifying which coordinate measures the objective. We’ll confirm that each vertex represents a maximum, compare the vertex output values for revenue, and keep the input locations separate as information about where those maxima occur.
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