How does the graph of f(x) = (x − 8)3 + 4 compare to the parent function g(x) = x3?

Hi there!

The difference between f(x) = 3(x-8) +4 and its parent function is: the function has been shifted right eight units and shifted up four units.

Step-by-step explanation:

---anytime there is a number within a parenthesis for example (x-a) or (x+a) means there is a horizontal shift

*subtracting means you shift to the right, adding means you shift to the left.

The number outside of the parenthesis for example (x)+a or (x)-a means there is a vertical shift

*subtracting means you are shifting down, adding means you are shifting up