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

8.11.6 Lesson Summary

Algebra 18.11.6 Lesson Summary

Search for key terms or text.

In this lesson, you learned how to:

  • Find the standard form of a quadratic function given its zeros.
  • Find the standard form of a quadratic function given its graph.
  • Use the intercept form of a quadratic function to define a specific function given its zeros and a point.

Here are the activities that helped you reach those goals:

  • 8.11.1: Relating a Quadratic Function and Its Zeros
    • In this activity, you reviewed the relationship between a quadratic function’s solutions, factored form, and standard form.
  • 8.11.2: Finding a Quadratic Function from Its Zeros
    • In this activity, you learned how to find a quadratic function that satisfies the zeros, or solutions, given.
    • 8.11.2: Self Check
    • 8.11.2: Additional Resources
  • 8.11.3: Finding a Quadratic Function from Its Zeros and a Point
    • In this activity, you learned to identify a specific quadratic function that has particular solutions and passes through a given point.
    • 8.11.3: Self Check
    • 8.11.3: Additional Resources
  • 8.11.4: Writing Quadratics When Given Any Format
    • In this activity, you combined the skills learned in this lesson to identify quadratic functions that meet specific criteria without any additional context.

After these activities, you completed the following practice:

  • 8.11.5: Practice

Checking In

On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?

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.