1. Quadratic Inequalities & Systems
Unit 2 Day 11
Quadratic Inequalities & Systems

2. Warm Up 12. Given the following functions, specifically describe the
transformation from the identity function y = x2
y = (x+3)2 – 7 b. y = 5x c. y = ½(x – 2)2 + 4
EXTRA…not in notes!
Simplify
(5x2 + 3x – 8) + (3x3 - 2x2 + 4)
(5x2 + 4x – 9) - (3x3 - 2x2 + 7)
Find the exact values of the solutions for 2x2 + 4x = 8
Get Regression equation for Verrazano together, then students complete the other questions.

3. Warm Up ANSWERS
12. Given the following functions, specifically describe the
transformation from the identity function y = x2
y = (x+3)2 – 7
y = 5x2 + 12
y = ½(x – 2)2 + 4
Translate 3 units left and 7 units down.
Translate 12 units up and make narrower by a factor of 5
Translate 2 units right and 4 units up. Make wider by a factor of ½ .

4. Warm Up ANSWERS EXTRA…not in notes! Simplify
(5x2 + 3x – 8) + (3x3 - 2x2 + 4)
(5x2 + 4x – 9) - (3x3 - 2x2 + 7)
Find the exact values of the solutions for 2x2 + 4x = 8
3x3 + 3x2 + 3x - 4
-3x3 + 7x2 + 4x - 16

5. Homework Pg 13 (evens)
2. Translate Left 2 4. Reflect over the x-axis, vertical stretch by 4 6. Vertical shrink by 1/3 8. Translate right 4, vertical stretch by Translate right 4, reflect over the x-axis, translate up Translate right 1, vertical stretch by 3, translate down 2.

6. Homework Pg14 (-6,3) (-4,-3) (1,-3) (3,3) No, just key points. [-6,3]
[-3,3]

7. Notes: Solving and Graphing Quadratic Inequalities & Systems
Day 11

8. Graphing & Solving Quadratic Inequalities
Graphing Quadratic Inequalities
STEPS
Graph the boundary. Determine if it should be solid (≥ , ≤) or dashed (> , <).
Test a point in each region.
Shade the region whose ordered pair results in a true inequality

9. Example 1
Graph:

10. Example 2
Graph:

11. You Try! Bottom of Notes p. 40
Graph:
Graph:

12. Solving Quadratic Inequalities Top of Notes p. 40
Example: Solve
Example: Solve

13. Solving Quadratic Inequalities
Example: Solve
Example: Solve

14. Solving Quadratic Inequalities
Example: Solve
Example: Solve

15. You Try!
Solve:
Solve:
Fix this typo!!

16. Solve a linear and Quadratic System by Graphing

17. Solve a linear and Quadratic System by Graphing

18. Solve a linear and Quadratic System by Graphing

19. Applications Practice Around the Room Activity
Musical Chairs
Around the Room Activity
Musical Chairs Activity…Applications

20. Homework
Packet Pg 15-16
BUT ALSO – it is not just a good, but a smart time to start studying. To start reviewing work on the review homework Pg It is not due until test day but it is good to start looking at them now!!!! I mean it!