4.1 Functions and Quadratics
Learn about functions and how to work with them. Then, take a deep dive into quadratics.
What is a Function?
Tables and Graphs
Domain and Range
Rigid Transformations
Vertical Stretch and Shrink
Horizontal Stretch and Shrink
Transforming Parabolas
Solving Quadratics
Factored Quadratics
Factoring Special Cases
Completing the Square
The General Solution
Solving with the Quadratic Formula
The Discriminant
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.
Prerequisites
Up next
5.1 Calculus in a Nutshell
Investigate the central ideas of calculus and learn how to put them to use.
Jump ahead