Question 377876: Please help me. I need to find write the quadratic function for a given set of points (0,-4)(1,0)(2,2). I keep getting different answers.
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! The general form of the function is  . then using the coordinates of the points,
-4 = c,
0 = a+b+c,
2 = 4a + 2b + c.
substituting the first equation into the 2nd, we get a+b = 4.
substituting the first equation into the 3rd, we get 4a+2b = 6, or 2a+b = 3.
So b = 4-a. Putting this into 2a+b = 3, we get
2a + 4-a = 3, or a = -1. This would give b = 4--1 = 5.
Thus the function is  .
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