Quadratic Functions
Explore parabolas, graph quadratics in standard and vertex form, solve quadratic equations by factoring, square roots, completing the square, and the quadratic formula, and apply them to real-world problems.
Estimated Time
30–40 minutes
Difficulty
Intermediate
Overview
Unit description, learning objectives, and skills.
Unit 8 — Quadratic Functions takes you beyond straight lines. You will explore parabolas, graph quadratics in standard and vertex form, solve quadratic equations by factoring and the quadratic formula, and apply them to real-world problems like projectile motion.
Learning Objectives
By the end of this unit, you will be able to:
Skills You Will Master
Real-World Connection
Quadratic functions describe the path of anything that flies through the air — a basketball, a rocket, a water fountain arc. Engineers use them to design suspension bridges and satellite dishes. Businesses use them to find the price that maximizes profit. Physicists use them to model the motion of falling objects under gravity. The quadratic formula is one of the most famous results in all of mathematics, and understanding it deeply gives you a powerful tool for solving problems that cannot be handled with linear equations alone.
Chapter Checklist
Recommended steps for completing each chapter
- Read the Workbook
- Complete the Independent Study
- Finish the Exit Ticket
- Take the Quiz
- Review the Answer Key
- Continue to the Next Chapter