Lesson 6.03 The Discriminant of the Quadratic Formula

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Explore Discussion

Open GeoGebra Discriminant Exploration and answer the questions below. Post your response to 6.03 Exploring the Discriminant Discussion. Be sure to write your post in complete sentences.

1. When b > 0 does the squared term remain positive or negative?
2. When there are two x-intercepts, is the answer positive, negative, or zero?
3. When there is only one x-intercept, is the answer positive, negative, or zero?
4. Where there are no x-intercepts, is the answer positive, negative, or zero?

In this lesson, you will study the discriminant of a quadratic function. With this formula, you will determine whether a function will have two real solutions, no real solutions, or only one real solution.