SOLUTION: Find the values of a, b, and c such that the equation y = ax2 + bx + c has ordered pair solutions (-3, -23), (-1, -9) and (3, -5)

Question 985911: Find the values of a, b, and c such that the equation y = ax2 + bx + c has ordered pair solutions (-3, -23), (-1, -9) and (3, -5)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

for (, )

........eq.1

for (,)

........eq.2

for (, )

........eq.3

solve system:
........eq.1
........eq.2
........eq.3
----------------------------------------------
go with
........eq.1
........eq.3
----------------------------------------subtract

go to eq.2 and eq.3, substitute for
........eq.2
........eq.3
-----------------------------------------subtract eq.2 from eq.3

go to eq. ........eq.3 substitute for and for
........eq.3

so, your equation is:

here is a graph with given points:

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