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Can someone show me how to convert \(a^2-ap+p^2-3q\) into vertex form?

 Feb 23, 2020
 #1
avatar+128475 
+2

This one  is tricky  because  there  are  no "numbers"....but....no problem  !!!!

 

a^2  - ap + p^2  - 3q             assuming  "a"  is the variable  and p, q  are  constants

 

Write

 

a^2  - pa  + p^2  - 3q         

 

Take (1/2)p  ..... square  it   =  p^2  / 4    .....add  and subtract  it  

 

 ( a^2  - pa  + p^2/4 )   +  p^2  - 3q - p^2/4    

 

Factor the  1st three terms....simplify the  rest

 

(a - p/2)^2  + (3/4)p^2 - 3q

 

The vertex is   (p/2 , (3/4)p^2 - 3q )

 

 

cool cool cool

 Feb 23, 2020
 #2
avatar+288 
0

Ok thanks!

madyl  Feb 23, 2020

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