SOLUTION: find the quadratic model ofr each set of values. (-1,-1),(1,-3)(2,8)

SOLUTION: find the quadratic model ofr each set of values. (-1,-1),(1,-3)(2,8)

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Question 342559: find the quadratic model ofr each set of values.
(-1,-1),(1,-3)(2,8)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The general quadratic equation is
Use the three points to get three equations in a,b, and c.
(-1,-1):
1.
.
.
.
(1,-3):
2.
.
.
.
(2,8):
3.
Add eq. 1 and eq. 2,

4.
.
.
.
Double eq. 1 and add to eq. 3,

5.
Subtract eq. 4 from eq. 5,

Then work backwards,

.
.
.

.
.
.

.
.
.
Verify the solution by plugging the x values into the equation and comparing the y values.
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