Immediate math help from PAID TUTORS. (paid link)Click here to see ALL problems on Quadratic EquationsQuestion 360690: Write a quadratic model for (-1,1) (1,1) (3,9)
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I can call the points (x1,y1), (x2,y2), and (x3,y3)
Now, plugging in the actual x's and y's
The general form for a quadratic is
Now I can write
(1)
and
(2)
and
(3)
This is 3 equations and
3 unknowns, so it's solvable
Add (1) and (2) to get
Substitute this in (3)
Now substitute and back into (2)
(2)
(2)
Now solve for , then do more substitutions to get and
The solution is