How does the graph of f(x) = (x - 9)^4 - 3 compare to the parent function g(x) = x^4?

There is translation to the right of 9 units, and it has moved down 3 units.

Step-by-step explanation:

When in the parenthesis (affected by the exponent), the number will either mean moving to the left or to the right. As it is a subtraction of 9, the graph moves to the right 9 units.

When outside the parenthesis (not affected by the exponent), the number will either mean moving up or down. In this case, as it is a subtraction of 3, the graph moves down 3 units.

I hope this helps!