Lesson Plan: Vertex Form of a Quadratic Function

In this third lesson of the Quadratic Functions and Equations Unit, students will explore the vertex form of a quadratic function. The vertex is a key feature of a parabola, representing either its maximum or minimum point. Understanding the vertex helps students analyze the behavior of quadratic functions and apply them to real-world problems.

Students will:

• Identify the vertex of a quadratic function from its graph
• Understand the relationship between the vertex and the axis of symmetry
• Use the vertex formula (h, k) for quadratic functions in vertex form y = a(x - h)² + k
• Determine whether the vertex represents a maximum or minimum value
• Apply knowledge of the vertex to solve real-world problems involving quadratic functions

Designed for Algebra 1 and Algebra 2 students, this lesson aligns with Common Core standards and strengthens students' ability to analyze quadratic functions. Understanding the vertex is essential for graphing, solving, and interpreting quadratic equations.

This is the third lesson in a ten-part unit on quadratic functions and equations. Future lessons will explore different methods for solving quadratic equations, including factoring, completing the square, and using the quadratic formula.

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