SOLUTION: Write a quadratic model for (-1,1) (1,1) (3,9)

SOLUTION: Write a quadratic model for (-1,1) (1,1) (3,9)

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Question 360690: Write a quadratic model for (-1,1) (1,1) (3,9)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
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

This works if I plug the given points back in
The plot is

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