5.1 Functions and Quadratics
Learn about functions and how to work with them. Then, take a deep dive into quadratics.
What is a Function?
Function Tables
Function Graphs
Domain
Range
Interval Notation
Multiple Intervals
Vertical Shift
Horizontal Shift
Vertical Stretch and Shrink
Horizontal Stretch and Shrink
Vertical Reflections
Horizontal Reflections
Transforming Parabolas
Points on Parabolas
Optimizing Revenue
Solving Quadratics
Factored Form
Factoring a Quadratic
Difference of Squares
Perfect Squares
Completing the Square
General Solution
Solving with the Quadratic Formula
Counting Zeros
Course description
Understand functions as set mappings, tables, and graphs. Using these tools, learn how to work with functions and transform them and their graphs. Then, use the framework of functions to do a deep dive on quadratics. You'll explore factoring, completing the square, learn about polynomials, and eventually develop the quadratic equation.
Topics covered
- Absolute Value
- Asymptotes
- Domain and Range
- Exponents
- Factoring Polynomials
- Functions
- Function Notation
- Function Transformations
- Piecewise Functions
- Projectile Motion
- Rational Functions
- The Binomial Theorem
- The Quadratic Formula
Prerequisites and next steps
You should be comfortable with the material from Solving Equations and Understanding Graphs.