Quadratics
Learn to work fluently with quadratic expressions and equations.
Multiplying Expressions
Multiplying Binomials
Finding the Units
Finding Linear Terms
Level Check
Finding Combined Linear Terms
Variables with a Multiple
Linear and Constant Terms
Finding All the Terms
Level Check
Undistributing
Finding One Factor
Finding Both Sides
Factoring Quadratics
Multiplying Signed Constants
Multiplying Signed Linear
Linear with Coefficients
Finding Signs
Linear and Constant Terms
Factoring with Negatives
Finding Numbers and Signs
Leading Coefficients
Finding Entire Factors
Solutions to Quadratic Equations
Plotting Solutions
Plotting x-Intercepts
Factors from Intercepts
Factored Form
Solutions on a Graph
Solutions to Quadratics
Solving by Factoring
The Importance of Zero
Hard-to-factor Expressions
Shifting Up and Down
Graphing a Vertical Shift
Shifting Right and Left
Graphing a Horizontal Shift
Finding the New Vertex
Stretching and Reflecting
Graphing a Vertical Stretch
Using All the Parameters
Graphing from Vertex Form
Finding Solutions
How Many Solutions
Splitting Equations
Equations with More Steps
Irrational Solutions
No Real Solutions
The Imaginary Unit
Complex Solutions
Squaring Binomials
Perfect Square Trinomials
Solving by Factoring Perfect Squares
Completing the Square
Solving by Completing the Square
Rewriting in Vertex Form
Using Complete the Square
Vertex Form with Leading Coefficients
Maximum or Minimum Value
Completing the Square with Leading Coefficients
Completing Any Square
Building a Formula
The Quadratic Formula
Using the Formula
Rearranging First
The Discriminant
The Axis of Symmetry
Axis of Symmetry to Vertex
Reading Different Forms
Equations from Symmetry
Choosing the Right Form
Course description
In this course, you'll build visual intuition for multiplying linear terms as well as factoring quadratic expressions. You'll also graph quadratic functions and learn techniques for solving quadratic equations.
Topics covered
- Multiplying linear expressions
- Factoring quadratic expressions
- Graphing the zeroes of a quadratic function
- Solving quadratic equations by factoring
- Graphing a quadratic function from vertex form