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

7.11.0 Lesson Overview

Algebra 17.11.0 Lesson Overview

Search for key terms or text.

In this lesson, you will evaluate expressions at certain xx-values to see if they produce an output of 00. You will learn what the factored form can tell us about the vertex and the yy-intercept of a graph representing a quadratic function.

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

  • Graph a quadratic function given in factored form.
  • Find the vertex and yy-intercept of the graph of a quadratic function in factored form without graphing it first.

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

  • 7.11.1: Finding Coordinates
  • 7.11.2: The Factored Form of a Quadratic Expression and the XX-Intercepts of Its Graph
    • 7.11.2: Self Check
    • 7.11.2: Additional Resources
  • 7.11.3: Sketching a Graph of a Quadratic Function Using at Least Three Identifiable Points
    • 7.11.3: Self Check
    • 7.11.3: Additional Resources
  • 7.11.4: Using the Vertex and Axis of Symmetry of Quadratics
    • 7.11.4: Self Check
    • 7.11.4: Additional Resources
  • 7.11.5: Graphs of Quadratic Functions

After that, you’ll practice and review.

  • 7.11.6: Practice
  • 7.11.7: 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.