Unit 2: Quadratic Functions

Mathematical relationships exist in almost every aspect of daily life. For example, a mathematical relationship exists between a car's speed and the time it takes for the car to reach its destination. As the speed increases, the travel time decreases. A mathematical relationship also exists between the height of a baseball thrown straight into the air and its speed; the higher the ball, the slower its speed.

Many types of mathematical relationships are addressed in high school math courses. Linear relations involve straight lines and were studied in Math 10C. Linear functions, a subset of linear relations, serve as a starting point for understanding other types of mathematical relationships, such as quadratic functions.

Note: Math 20-2 is limited to quadratic relations that are functions and thus the focus of this entire Unit is on quadratic functions. Quadratic relations that are not functions are beyond the scope of this course.

Lesson 2.1: Introduction to Quadratic Functions

Designers of satellite dishes make use of quadratic functions to create shapes that maximize reliability and efficiency. Many other professions use quadratic functions to optimize performance, including military tactical units and aerospace engineers. In Lesson 2.1, a review of Math 10C linear functions and an introduction to quadratic functions will bring to light the many applications of these relationships.