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## Lesson 15: The Vertex

** Description:**This lesson begins with a review of the vertex formula for a quadratic and looks at two quadratics- one a vertical shift of the other- to verify that correct vertex is obtained for any quadratic by substituting x = -b/2a into the equation. Application problems concerned with minima and maxima are covered before the vertex form of the quadratic equation is presented. The lesson concludes with examples where the vertex of a given parabola is given and subsequently used to find the related equation.

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**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- College & Beyond

**Instructional Component Type(s):**- Curriculum: Lesson Plan

- From: San Diego Area Knowledge Exchange for Developmental Math (SAKE)
- Contributed By: SAKE Owner SAKE Owner

This lesson begins with a review of the vertex formula for a quadratic and looks at two quadratics- one a vertical shift of the other- to verify that correct vertex is obtained for any quadratic by substituting x = -b/2a into the equation. Application problems concerned with minima and maxima are covered before the vertex form of the quadratic equation is presented. The lesson concludes with examples where the vertex of a given parabola is given and subsequently used to find the related equation.