answer: quadratic
you know it’s a quadratic when the second difference is the same number
so
the first difference is:
0 to -3 is -3
-3 to -4 is -1
-4 to -3 is +1
-3 to 0 is + 3
the second difference is:
-3 to -1 is +2
-1 to 1 is +2
1 to 3 is +2
since the second difference is always +2
the function is QUADRATIC