1. Interpret the Discriminant
Section 10.7

2. Objectives:
Use the value of the discriminant to describe solutions and intercepts of a quadratic equation

3. Key Vocabulary:
Discriminant

4. Discriminant

5. Using the Discriminant

6. Example 1:
Use the discriminant to describe the number of solutions. .

7. Example 2:
Use the discriminant to describe the number of solutions.

8. #1: Tell whether the equation has two solutions, one solution, or no solution.

9. #2: Tell whether the equation has two solutions, one solution, or no solution.

10. #3: Tell whether the equation has two solutions, one solution, or no solution.

11. Example 3:
Find the number of x-intercepts of the graph of the function.

12. #4: Find the number of x-intercepts of the graph of the function.

13. #5: Find the number of x-intercepts of the graph of the function.

14. #6: Find the number of x-intercepts of the graph of the function.

15. Example 4:
The Centennial Fountain in Chicago shoots a water arc that can be modeled by the graph of the equation where x is the horizontal distance (in feet) from the river’s north shore and y is the height (in feet) above the water. Does the water arc reach a height of 50 feet? If so, about how far from the north shore is the water arc 50 feet above the water?

16. Homework Assignment Page 681 #8, 10, 12, 14, 16, 18,
22, 24, 30, 32, 34, 38, 46, 48