Graphing and Solving Quadratic Inequalities

1. Graphing and Solving Quadratic Inequalities Algebra 2 5.7

2. Learning Targets • Students should be able to… • Graph quadratic inequalities in two variables • Solve quadratic inequalities in one variable

3. Warm-up

4. Go over Quiz

5. Graphing Quadratic Inequalities • Graph the parabola – dash the line if the inequality is < or > • Shade above if > or ≥, shade below if < or ≤

6. Example 1 y > x2 – 2x – 3

7. Example 2 y < 2(x – 3)2

8. Example 3 y > x2 +2x – 4 y < -x2 + 3

9. Solving Quadratic Inequalities If > or ≥ 0 then the solution is “or”  write two separate inequalities If < or ≤ 0, then the solution is “and”  write one compound inequality

10. Example 4 x2 + 3x – 18 > 0

11. Example 5 4x2 - 25 < 0

12. Example 6 3x2 + 11x ≤ 4

13. Exit Slip

14. Closure

15. Homework Section 5.7 Page 303 – 304 • #14 – 16, 19 – 40 every 3, 43 – 46 all