1. Bell Work Solve the Equation by Factoring or using Square Roots: 1. 2. Solve the equation by using the quadratic formula: 3. Identify the parts of a parabola: 4. A ________________ B ________________ AA B

2. Objective for Today  Find the discriminant and determine the nature of the roots  Solve for roots/zeros of a quadratic function

3.  Discriminant is the equation used to determine the type of roots for a quadratic equation.  What is a root? Roots are also known as:  Zeros  Solutions  X-intercepts What is the Discriminant? Discriminant Equation

4. Examples.

5. Look at the graphs. What do you notice?

6.  What’s a conjecture?  An opinion or conclusion formed on the basis of information  There are 2 real roots when _________________________  There is 1 real roots when ___________________________  There are 0 real roots when _________________________ Make a conjecture

7. 1. 2. 3. 4. Practice Problems

8. More Practice  Find the discriminant of the following quadratic function. Then solve.

9. Practice Find the discriminant for each equation. Then solve. #1) 3x²-6x + 4 =0 #2) 3x²-6x + 3 =0 #3) 3x²-6x + 2 = 0

10. Homework  LESSON 5.6  PAGE 320  24-38 EVENS