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Question:

pavelpimen
pavelpimen
Student
High School - 10th Grade

Find the second grade function if f(-1)=1, f(0)=1 , f(1)=3.

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Posted by pavelpimen on Thursday April 2, 2009 at 6:53 AM and tagged with function, math.


Answers:

  1. giorgiana1976
    giorgiana1976 Teacher
    Doctorate

    eNotes Editor

    Best answer as selected by question asker.

    The second grade function is described by the expression:

    f(x)=ax^2 + bx + c

    f(-1)=1

    f(-1)=a*(-1)^2 + b*(-1) + c=a-b+c

    a-b+c=1

    f(0)=1

    f(0)=a*(0)^2 + b*(0) + c=c

    c=1

    f(1)=3

    f(1)=a*(1)^2 + b*(1) + c=a+b+c

    a+b+c=3, but c=1

    a+b+1=3

    a+b=2

    We  have also the expression a-b+c=1 and c=1

    a-b+1=1

    a-b=0

    a=b, but a+b=2=>a+a=2

    2a=2

    a=1

    b=1

    c=1

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    Posted by giorgiana1976 on Thursday April 2, 2009 at 8:17 AM