Algebra II

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I'm having a hard time figuring out a quadratic model for this data.

x y
1 3
2 13
3 31
4 57
5 91
6 133

How do I go about doing this?
Is there a website that could help me?

  • Algebra II -

    First show that this is a quadratic relationship by taking differences and second differences:
    y dy d2y
    3 10 8
    13 18 8
    31 26 8
    57 34 8
    91 42 8

    If the second difference is constant, it is a quadratic relationship.

    Assume the quadratic model as:
    f(x)=ax2 + bx + c

    Thus, the second difference = 2a

    By substituting values of x and a into one of the formulas, b can be found
    for x=1,

    Substitute a and b in f(1), we get


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