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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