Converting From Vertex To Standard Form

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Name________________    
Converting   f rom   V ertex   t o   S tandard   F orm    
Hon   A lg   2  
 
 
 
 
 
 
 
 
 
 
 
Caraco    
Given   t he   q uadratic,   i dentify   t he   v ertex   a nd   c haracterize   t he   t ransformations   ( left/right,  
!
up/down,   e tc.).     T hen   c onvert   e ach   o f   t he   q uadratics   i n   v ertex   f orm,   �� �� = �� �� − ��
+ ��  
!
to   s tandard   f orm   �� �� = ����
+ ���� + ��.      
 
Please   n ote   t he   u se   o f   C APITAL   L ETTERS   i s   t o   t ry   t o   r einforce   t hat   t he   v alues   a re   N OT   n ecessarily   e qual.
 
!
1.  
�� �� = 2 �� − 3
+ 1  
vertex: (
)
transformations:
In standard form =
!
2.  
�� �� = −1 �� + 2
+ 4  
vertex: (
)
transformations:
In standard form =
!
3.  
�� �� = −2 �� + 4
− 1  
vertex: (
)
transformations:
In standard form =

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