SOLUTION: Find the quadratic function that includes the following sets? (0,6) (2,14), (4,-2)

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Question 1002510: Find the quadratic function that includes the following sets? (0,6) (2,14), (4,-2)
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

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Put the coefficient found into the general form equation shown at top of this solution posting.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
ax^2+bx+c=0
c=6, using the first point.
4a+2b+6=14
4a+2b=8
2a+b=4
16a+4b+6=-2
16a+4b=-8
4a+b=-2
-2a-b=-4, negating the first
2a=-6, adding
a=-3
b=10
-3x^2+10x+6=0

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