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4.7 Complete the Square
Writing Equations in Vertex Form
Leading Coefficients
Write Equations in Vertex Form
• Use Complete the Square method
to
2
y ax bx c  
 
2
y a x h k  
Write in Vertex Form
2
4 9y x x  
2
9 4y x x  
2
49 44y x x  
 
2
5 2y x  
 
2
2 5y x  
 2, 5
Write in Vertex Form
2
5 7y x x  
2
7 5y x x  
225 5
7 5
2
4 4
y x x 
2
2
b 
 
 
2
5
2
 
  
 
25
4

2
28 5
4 2
25
4
y x
 
   
 

2
53 5
4 2
y x
 
   
 
2
5 53
2 4
y x
 
   
 
5 53
,
2 4
 
  
 
Write in Vertex Form
2
3 12 14y x x  
2
14 3 12y x x  
 2
14 3 4y x x  
   2
14 3 43 4 4y x x  
 
2
26 3 2y x  
 
2
3 2 26y x    2, 26 
Write in Vertex Form
2
10 2y x x  
 
2
5 23y x  
 5, 23
Assignment
p. 289 #39, 41 - 49, 62-63, 67, 69

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4.7 write in vertex form

  • 1. 4.7 Complete the Square Writing Equations in Vertex Form Leading Coefficients
  • 2. Write Equations in Vertex Form • Use Complete the Square method to 2 y ax bx c     2 y a x h k  
  • 3. Write in Vertex Form 2 4 9y x x   2 9 4y x x   2 49 44y x x     2 5 2y x     2 2 5y x    2, 5
  • 4. Write in Vertex Form 2 5 7y x x   2 7 5y x x   225 5 7 5 2 4 4 y x x  2 2 b      2 5 2        25 4  2 28 5 4 2 25 4 y x          2 53 5 4 2 y x         2 5 53 2 4 y x         5 53 , 2 4       
  • 5. Write in Vertex Form 2 3 12 14y x x   2 14 3 12y x x    2 14 3 4y x x      2 14 3 43 4 4y x x     2 26 3 2y x     2 3 2 26y x    2, 26 
  • 6. Write in Vertex Form 2 10 2y x x     2 5 23y x    5, 23
  • 7. Assignment p. 289 #39, 41 - 49, 62-63, 67, 69