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Quadratic Functions and Equations · Weeks 19-27

Optimization Problems with Quadratics

Using the vertex of a quadratic function to find maximum area or minimum cost.

Key Questions

  1. Explain how the vertex represents the 'best' outcome in an optimization scenario.
  2. Justify why the axis of symmetry is the key to finding the optimal input.
  3. Construct how we can model a rectangular area with a fixed perimeter as a quadratic.

Common Core State Standards

CCSS.Math.Content.HSA.CED.A.2CCSS.Math.Content.HSF.IF.B.4
Grade: 9th Grade
Subject: Mathematics
Unit: Quadratic Functions and Equations
Period: Weeks 19-27

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