Determine whether the given table of values represents a quadratic function x= 1 / 0 /1 / 2 / 3
y= 4 / 3 / 4 / 7 / 12
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2 answers

starting at x=0, the 2nd differences are constant (2) so yes, it is a quadratic
y = x^2+3 👍
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oobleck 
The difference between xvalues is constant so use differences of y values to determine the model.
If the second difference is the same value, the model will be quadratic.
First difference of yvalues:
3  4 =  1
4  3 = 1
7  4 = 3
12  7 = 5
Second difference of yvalues:
1  (  1 ) = 1 + 1 = 2
3  1 = 2
5  3 = 2
The second difference is the same value, so the given table of values represents a quadratic function.
By the way this quadratic function is:
y = x^2 + 3 👍
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Bosnian
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