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Vertex Form
Intercept Form
Standard Form
 
2
y a x h k  
  y a x p x q  
2
y ax bx c  
6
4
2
-2
-4
-6
-5 5
 2,1
 1, 2 
 
2
y a x h k  
  y a x p x q  
2
y ax bx c  
   Vertex 2,1 , Point 1, 2  
  
2
2 1y a x   
      
2
2 1 2 1a     
 
2
y a x h k  
   
2
2 1 1a  
 
2
3 1a 
3 a 
 
2
3 2 1y x   
6
4
2
-2
-4
-6
-5 5
 2,1
 1, 2 
 
2
3 2 1y x   
6
4
2
-2
-4
-6
-5 5
 1, 4
3  
2
y a x h k  
  y a x p x q  
2
y ax bx c  
3
  y a x p x q  
 intercepts: 3, 3 point: 1, 4 
   3 3y a x x   
     4 1 3 1 3a    
    4 4 2a  
4 8a  
1
2 a
  1
2 3 3y x x  
6
4
2
-2
-4
-6
-5 5
 1, 4
33
  1
2 3 3y x x  
-2
-4
-6
-8
-10
5
 3, 7
 0, 10
 
2
y a x h k  
  y a x p x q  
2
y ax bx c  
 2, 4 
     points: 2, 4 , 0, 10 , 3, 7   
   
2
2 2 4a b c     
2
ax bx c y  
4 2 4a b c   
   
2
3 3 7a b c   
9 3 7a b c   
   
2
0 0 10a b c   
10c  
4 2 4a b c   
9 3 7a b c   
10c  
4 2 10 4a b   
9 3 10 7a b   
4 2 6a b 
9 3 3a b 
2 3a b 
3 1a b 
5 4a 
4
5a 
 4
52 3b 
 8
5 3b 
8 5 15b 
5 7b 
7
5b 
2 74
5 5 10y x x  
-2
-4
-6
-8
-10
5
 3, 7
 0, 10
 2, 4 
2 74
5 5 10y x x  
p. 312 # 3 - 39 (multiples of 3), 47 - 50

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4.10 write quadratic models

  • 2.   2 y a x h k     y a x p x q   2 y ax bx c  
  • 3. 6 4 2 -2 -4 -6 -5 5  2,1  1, 2    2 y a x h k     y a x p x q   2 y ax bx c  
  • 4.    Vertex 2,1 , Point 1, 2      2 2 1y a x           2 2 1 2 1a        2 y a x h k       2 2 1 1a     2 3 1a  3 a    2 3 2 1y x   
  • 5. 6 4 2 -2 -4 -6 -5 5  2,1  1, 2    2 3 2 1y x   
  • 6. 6 4 2 -2 -4 -6 -5 5  1, 4 3   2 y a x h k     y a x p x q   2 y ax bx c   3
  • 7.   y a x p x q    intercepts: 3, 3 point: 1, 4     3 3y a x x         4 1 3 1 3a         4 4 2a   4 8a   1 2 a   1 2 3 3y x x  
  • 8. 6 4 2 -2 -4 -6 -5 5  1, 4 33   1 2 3 3y x x  
  • 9. -2 -4 -6 -8 -10 5  3, 7  0, 10   2 y a x h k     y a x p x q   2 y ax bx c    2, 4 
  • 10.      points: 2, 4 , 0, 10 , 3, 7        2 2 2 4a b c      2 ax bx c y   4 2 4a b c        2 3 3 7a b c    9 3 7a b c        2 0 0 10a b c    10c  
  • 11. 4 2 4a b c    9 3 7a b c    10c   4 2 10 4a b    9 3 10 7a b    4 2 6a b  9 3 3a b  2 3a b  3 1a b  5 4a  4 5a   4 52 3b   8 5 3b  8 5 15b  5 7b  7 5b  2 74 5 5 10y x x  
  • 12. -2 -4 -6 -8 -10 5  3, 7  0, 10  2, 4  2 74 5 5 10y x x  
  • 13. p. 312 # 3 - 39 (multiples of 3), 47 - 50