1. The Sign Of A Quadratic

2. The Sign Of A Quadratic
Positive Definite
y
x

3. The Sign Of A Quadratic
Positive Definite
y
x

4. The Sign Of A Quadratic
Positive Definite
y
x
0 , 0a   

5. The Sign Of A Quadratic
Positive Definite
y
x
0 , 0a   
Negative Definite
y
x

6. The Sign Of A Quadratic
Positive Definite
y
x
0 , 0a   
Negative Definite
y
x

7. The Sign Of A Quadratic
Positive Definite
y
x
0 , 0a   
Negative Definite
y
x
0 , 0a   

8. Indefinite

9. Indefinite
y
x

10. Indefinite
y
x
0 , 0a   

11. Indefinite
y
x
0 , 0a   
y
x

12. Indefinite
y
x
0 , 0a   
y
x
0 , 0a   

13. Indefinite
y
x
0 , 0a   
y
x
0 , 0a   
y
x

14. Indefinite
y
x
0 , 0a   
y
x
0 , 0a   
y
x
0 , 0a   

15. Indefinite
y
x
0 , 0a   
y
x
0 , 0a   
y
x
0 , 0a   
y
x

16. Indefinite
y
x
0 , 0a   
y
x
0 , 0a   
y
x
0 , 0a   
y
x
0 , 0a   

17. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  

18. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 

19. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 
0k 

20. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 
0k 
0 

21. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 
0k 
0 
2
36 4 0k 

22. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 
0k 
0 
2
36 4 0k 
2
9k 

23. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 
0k 
0 
2
36 4 0k 
2
9k 
3 or 3k k  

24. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 
0k 
0 
2
36 4 0k 
2
9k 
3 or 3k k  
3k 

25. 2
e.g. Find the values of which makes 6 0 positive definitek kx x k  
0a 
0k 
0 
2
36 4 0k 
2
9k 
3 or 3k k  
3k 
Exercise 8G; 2ace, 3bd, 4bd, 5bd, 6, 12, 15, 17*