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algebra

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What is the equation in standard form of a parabola that models the values in the table?
x -2 0 4
f(x) 1 5 -59

  • algebra - ,

    This is what I have so far if someone could help me finish.

    a(-2)^2+b(-2)+c=1
    a(0)^2+b(0)+c=5
    a(4)^2+b(4)+c=-59

    4a-2b+c=1
    0a+0b+c=5 c=5
    16a+4b+c=-59

    4a-2b+5=1
    16a+4b+5=-59

    4a-2b+5-5=1-5
    4a-2b=-4

    16a+4b+5-5=-59-5
    16a+4b=-64
    Now I'm not sure if I'm doing this right.

    4(4a-2b)=-4*4
    16a+4b=-16

    16a-8b=-16
    16a+4b=-64

    16a-8b-(16a+4b)=-36-(-64)
    I'm lost!
    Can someone please help?

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