SOLUTION: Determine whether a quadratic model exists for the set of values below. If so, write the model
f(0)=-1,f(3)=-16,f(-1)=-8
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Question 1003067: Determine whether a quadratic model exists for the set of values below. If so, write the model
f(0)=-1,f(3)=-16,f(-1)=-8
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
given:
=> it is a point (,)=(,)
=> it is a point (,)
=> it is a point (,)
form the system using given points to find the coefficients , and
.......eq.1
......simplify, both sides divide by
.......solve for
............eq.2
...........eq.3
since left sides in eq.2 and eq.3 are same, equal right sides
...........solve for
go to ...........eq.3, plug in and find
so, you have , and
a quadratic model is:
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