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F-IF.9 Warmup M2-025-A12-V04

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 minimizing wait time, read \(A\)'s minimum from \(W(x)=(x-4)^{2}+12\) and \(B\)'s minimum from vertex \((6,15)\). Compare the vertex \(y\text{-}\text{coordinates}\) and explain why the smaller \(x\text{-}\text{coordinate}\) alone does not establish the smaller wait time.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.9
Category
Functions
Domain
Interpreting Functions
Objective
Compare function properties across representations, especially quadratic comparisons.
Problem type
Choose which function better fits a maximize-or-minimize goal by comparing extrema