Introduction to Analysis of Quadratic Functions

Learning Objectives

By the end of this lesson, you will be able to:

  • Use the quadratic formula and factoring to find both real and complex roots (x-intercepts) of quadratic functions
  • Use algebra to find the y-intercepts of a quadratic function
  • Solve problems involving the roots and intercepts of a quadratic function
  • Use the discriminant to determine the nature (real or complex) and quantity of solutions to quadratic equations
  • Determine a quadratic function’s minimum or maximum value
  • Solve problems involving a quadratic function’s minimum or maximum value

In this section, we will investigate quadratic functions further, including solving problems involving area and projectile motion. Working with quadratic functions can be less complex than working with higher degree polynomial functions, so they provide a good opportunity for a detailed study of function behavior.