Centre for Distance Learning and Innovation

Outcomes

In this lesson you will

investigate the relationship between the roots of a quadratic equation and the discriminant of the quadratic equation
use the transformational form to determine whether the graph of a quadratic has zero, one or two x-intercepts.
use the discriminant to determine the number of x-intercepts and the nature of the roots

By the end of this section students will be able to:

derive and apply the quadratic formula
analyze the quadratic formula to connect its components to the graphs of quadratic functions
solve quadratic equations
relate the nature of the roots of quadratic equations and the x- intercepts of the graphs of 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

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