Quadratic Functions and Equations

Quadratic functions: standard form

Graphing parabolas: vertex and axis of symmetry

Graphing parabolas: direction and width

Graphing from standard form

Vertex form: y = a(x - h)² + k

Graphing from vertex form

Converting between forms

Finding maximum and minimum values

Quadratic equations: solving by graphing

Solving by square roots

Solving by factoring

Completing the square: concept

Completing the square: solving equations

Deriving the quadratic formula

Using the quadratic formula

The discriminant

Complex numbers introduction

Operations with complex numbers

Quadratic equations with complex solutions

Choosing solution methods

Systems with quadratic equations

Quadratic inequalities

Graphing quadratic inequalities

Quadratic regression

Projectile motion applications

Area optimization problems

Revenue and profit applications

Quadratic modeling

Review and synthesis

Unit assessment