SOLUTION: 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
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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)
---------------------------------------
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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