Question 1128483: equation of the quadratic function whose graph passes through each set of points(-3,2),(-1,0),(1,6) how do I set this up and solve
Found 2 solutions by josmiceli, MathLover1: Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! (-3,2), (-1,0),(1,6)
Use the general equation:

-----------------------------
(-3,2)
(1) 
(-1,0)
(2) 
(1,6)
(3) 
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This is 3 equations with 3 unknowns, so
you can solve by any means to fill in
a, b, and c
Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
equation of the quadratic function is:
if graph passes through each set of points ( , ),( , ),( , ), use them to set up system of equations and calculate , , and
....use ( , )
..........eq.1
....use ( , )
..........eq.2
....use ( , )
.........eq.3
from eq.1 and eq.2 we have:
...........(a}
from eq.2 and eq.3 we have:
go to ...........(a}, substitute
go to ..........eq.2, substitute and
your equation is:
check points on a graph:
( , ),( , ),( , )
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