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

7.6.6 Lesson Summary

Algebra 17.6.6 Lesson Summary

Search for key terms or text.

In this lesson, you learned how to:

  • Create quadratic functions and graphs that represent a situation.
  • Relate the vertex of a graph and the zeros of a function to a situation.
  • Know that the domain of a function can depend on the situation it represents.

Here are the activities that helped you reach those goals:

  • 7.6.1: Using Linear Functions to Describe Constant Speed
    • In this activity, you considered what happens if an object is launched up in the air unaffected by gravity. It reinforced your knowledge that an object that travels at a constant speed can be described with a linear function.
  • 7.6.2: The Force of Gravity Change in Quadratic Functions
    • In this activity, you learned a model that accounts for the fact that an object that is launched straight up at a constant speed does not keep going at the same rate when the influence of gravity is taken into account. The big lesson was that adding a quadratic term to a linear function has an effect of “bending” the graph, as the output values are no longer changing at a constant rate.
    • 7.6.2: Self Check
    • 7.6.2: Additional Resources
  • 7.6.3: Using Quadratic Functions to Describe Height
    • In this activity, you explored another model of a projectile motion. You graphed and interpreted a quadratic function in context and began considering a reasonable domain for the function.
    • 7.6.3: Self Check
    • 7.6.3: Additional Resources
  • 7.6.4: Interpreting Graphs of Quadratic Functions
    • In this activity, you examined a quadratic function and its graph and identified what each term of the equation meant in the context of the situation graphed.

After these activities, you completed the following practice:

  • 7.6.5: 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.