SOLUTION: 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!

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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