Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

9.11.0 Lesson Overview

Algebra 19.11.0 Lesson Overview

Search for key terms or text.

In this lesson, you will learn how to use the vertex form of a quadratic to determine the maximum or minimum value of a function and to solve problems.

When you finish this lesson, you will be able to:

  • Find the maximum or minimum of a function by writing the quadratic expression that defines it in vertex form.
  • Explain why the vertex is a maximum or minimum when given a quadratic function in vertex form.

Here are the activities that will help you reach those goals:

  • 9.11.1: Maximum and Minimum Value of a Function
  • 9.11.2: Does the Vertex Represent the Minimum or Maximum Value?
    • 9.11.2: Self Check
    • 9.11.2: Additional Resources
  • 9.11.3: Comparing Maximums between Quadratics
    • 9.11.3: Self Check
    • 9.11.3: Additional Resources
  • 9.11.4: Maximum, Minimum, and Analyzing the Vertex

After that, you'll practice and review.

  • 9.11.5: Practice
  • 9.11.6: Lesson Summary
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.