Question 929710:  find the quadratic function y = ax ^ 2 + bx + c whose graph passes through the given points.
 
(1,-1)(-1,-9)(-2,-10)
 
 
 
thanks in advance for the help! 
 Answer by MathLover1(20850)      (Show Source): 
You can  put this solution on YOUR website! to find the quadratic function   whose graph passes through the given points ( , )( , )( , ), we need to find  , ,and   and we can do it using given points
 
  ...plug in   and   from  ( , )
 
 
 
 .........eq.1
 
 
  ...plug in   and   from ( , )
 
 
 
 .........eq.2
 
 
  ...plug in   and   from ( , )
 
 
 
 ..........eq.3
 
 
you have a system:
 
 .........eq.1 
 .........eq.2 
 ..........eq.3 
_______________________________
 
start with
 
 .........eq.1 
 .........eq.2 
___________________________subtract 2 from 1
 
 
 
 
 
 
 
 
 
 
 
go to  ..........eq.3, plug in  
 
 
 
 
 
 
 
 
 
 
 
 
 
go to  .........eq.1 substitute   and  
 
 
 
 
 
 
 
 
 
 
 
go to   plug in   and find  
 
 
 
 
 
 
 
so, your equation is:  
 
 
 
(1,-1)(-1,-9)(-2,-10) 
  
 
 
 
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