Question

What parent function describes the set (-1, -1), (0, 0), (1, -1) (-2, -8), (2, -8)?

Answer 1

looks like
y = x^3 for x < 0 , y = -x^3 for x ≥ 0
to me

Answer 2

Looks like y = -|x^3| or y = -|x|^3

Not sure what the parent function would be. |x|^3 I guess, if all modifications to be considered are linear transformations.