Learning Resources

Home »  » Courses » Mathematics » Mathematics 3204 (delisted) » Unit 01 » Set 04 ILO 04 » Get Ready

Outcomes

In this lesson you will learn

  • Investigate the relationship between the roots of a quadratic equation and the value of the discriminant from the quadratic formula.
  • Explore how the transformational form can determine whether the graph of a quadratic function has two, one, or zero x-intercepts.

By the end of this section you should be able to:

  • Derive and apply the quadratic formula.
  • Solve quadratic equations.
  • Relate the nature of the roots of quadratic equations and the x-intercepts of the graphs of the corresponding functions.
  • Represent non-real roots of quadratic equations as complex numbers.
  • Demonstrate an understanding of the role of irrational numbers in applications.
  • Demonstrate an understanding of the nature of the roots of quadratic equations.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • The quadratic formula.
  • The meaning of the zeros of a function.
  • How to change between the various forms (general, standard, transformational) of the quadratic function.