9 5 Applications of the Discriminant Algebra 1

9. 5 – Applications of the Discriminant Algebra 1

Objectives: 1. 2. 3. Evaluate the discriminant Use the discriminant to find the number of quadratic solutions Match graphs with their quadratic equations based on the discriminant

Recall the Quadratic Formula… Discriminant: the expression inside of the radical.

Discriminant: the expression inside of the radical. Using the Discriminant

Practice Discriminant: the expression inside of the radical. Use the discriminant to determine how many x-intercepts/solutions/zeros the following quadratic equations have. Sketch a rough sketch of the graph. one solution no solution two solutions

Practice Discriminant: the expression inside of the radical. Use the discriminant to determine how many x-intercepts/solutions/zeros the following quadratic equations have. Support your answer up by graphing! X Y two solutions

Practice Discriminant: the expression inside of the radical. Use the discriminant to determine how many x-intercepts/solutions/zeros the following quadratic equations have. Support your answer up by graphing! X Y no solution

Practice Discriminant: the expression inside of the radical. Use the discriminant to determine how many x-intercepts/solutions/zeros the following quadratic equations have. Support your answer up by graphing! X Y one solution

Graphs § State whether the determinant will be positive, negative, or zero. Positive Zero Negative

Matching Discriminant: the expression inside of the radical. Use the discriminant to match the equations with their potential graphs! A A. C B. B C.

Exit Slip • Complete three problems below. • Exit slips will be collected and graded. Tell if the equation has two solutions, one solution, or no solution. 2) 1) One solution 3) No solution Is it possible for the equation below to have a graph like the one shown. EXPLAIN! No, because the discriminant of the equation is positive, so the graph should have two x-intercepts.

Homework 9. 5 Quadratic Formula HW Day 2