Answer:
A, C, D, E, F
Step-by-step explanation:
A parent cubic function goes through the origin because its parent function y=x^3 means you can plug in (0,0) as 0=0^3.
A reciprocal function does not go through the origin because its parent function y=1/x does not allow (0,0) to be plugged in as you cannot divide by 0.
A parent quadratic function goes through the origin because its parent function y=x^2 means you can plug in (0,0) as 0=0^2
A parent absolute value function goes through the origin because its parent function y=|x| means you can plug in (0,0) as 0=|0|
A parent linear function goes through the origin because its parent function y=x means you can plug in (0,0) as 0=0
A parent cube root function goes through the origin because its parent function y=cbrt(x) means you can plug in (0,0) as 0=cbrt(0)