1. Algebra 2 (Section 4.9)

2. Algebra 2 (Section 4.9)
Review…. The DISCRIMINANT is ________. If b2 – 4ac > 0, then there are _______ REAL solutions and _______ x-intercepts. 2 2
REVIEW FROM 4.8 NOTES

3. Algebra 2 (Section 4.9)
If b2 – 4ac < 0, then there are _______ REAL solutions and _______ x-intercepts. NO NO
REVIEW FROM 4.8 NOTES

4. Algebra 2 (Section 4.9)
If b2 – 4ac = 0, then there IS _______ REAL solution and _______ x-intercept. 1 1
REVIEW FROM 4.8 NOTES

5. Algebra 2 (Section 4.9) NO REAL 2 COMPLEX SOLUTIONS
When there are __________ solutions, there are _______ _______________________ . 2
COMPLEX SOLUTIONS
REVIEW FROM 4.8 NOTES

6. Algebra 2 (Section 4.9)
Graph the following inequalities. Pick a test point, test it, and shade. (Show your work for testing!)

7. Algebra 2 (Section 4.9)
STEPS to graphing a quadratic inequality Graph the parabola.
In case you’ve forgotten how to do this…
Find the vertex of the parabola using
Substitute the x-coordinate into the function to find the y-coordinate.

8. Algebra 2 (Section 4.9) 3. Set up a table. 4. Plot the points.
*** THE NEW STUFF IS THE SHADING. ***
5. Choose a point to test. (Pick one with coordinates that are 0 if possible.)
6. Shade.

9. Algebra 2 (Section 4.9)
EX 1 Graph y < 2x2 + 8x – 1 .

10. Algebra 2 (Section 4.9) TEST (0,8) y < 2x2 + 8x – 1
8 < 2(0)2 + 8(0) – 1
8 < – 1
8 < – 1
Shade the other side of the parabola!
FALSE!

11. Algebra 2 (Section 4.9) EX 2 Graph This is in vertex form,
so we don’t have to do work to get the vertex.
This parabola opens
down.

12. Algebra 2 (Section 4.9) TEST (4,5) 5 > –3(4 – 4)2 + 1
5 > –3(0) + 1
5 > 0 + 1
5 > 1
Shade that side of the parabola!
TRUE!

13. ASSIGNMENT #49 WS (Graphing Quadratic Inequalities)
Algebra 2 (Section 4.9)
ASSIGNMENT #49 WS
(Graphing Quadratic Inequalities)

14. Systems of Quadratic Equations
Algebra 2 (Section 4.9)
Systems of Quadratic Equations

15. It could be ___ _______________ and a ________ .
Algebra 2 (Section 4.9)
Give examples of what a system of equations involving quadratics (1 or more) might look like graphically.
It could be ___ _______________ and a ________ .

16. 2 points of intersection
Algebra 2 (Section 4.9)
Give examples of what a system of equations involving quadratics (1 or more) might look like graphically.
It could be _____________.
It could be ___ _______________ and a ________ .
2 QUADRATICS
2 points of intersection
1 point of intersection No
intersection

17. 2 points of intersection
Algebra 2 (Section 4.9)
It could be ____________ and______ .
1 QUADRATIC
1 LINE
2 points of intersection
1 point of intersection No
intersection 2

18. Solve the system of equations.
Algebra 2 (Section 4.9)
Solve the system of equations.
EX 1
Substitute!!!!!
You can solve this by factoring or using the quadratic formula.

19. We have found the x values. Now we have to find the y values.
Algebra 2 (Section 4.9)
We’re not done!
We have found the x values. Now we have to find the y values.

20. Algebra 2 (Section 4.9)

21. Algebra 2 (Section 4.9)
EX 2
We’re not done!

22. Algebra 2 (Section 4.9)

23. Algebra 2 (Section 4.9)
EX 3

24. Algebra 2 (Section 4.9)

25. Algebra 2 (Section 4.9)
EX 4

26. Algebra 2 (Section 4.9)

27. Algebra 2 (Section 4.9) ASSIGNMENT (Day 1) p.262(#8-12)
Your book says to solve by graphing. Do not do that! Solve algebraically (like we did in this Power Point).

28. Algebra 2 (Section 4.9)
EX 5
We’re not done!

29. Algebra 2 (Section 4.9)

30. Algebra 2 (Section 4.9)
ASSIGNMENT (Day 2)
p.262(#14 – 18, 20,21)