1. The problem asks to describe the transformation from the function $f(x) = x^3$ to $g(x) = (x + 4)^3$. 2. Recall that for a function $f(x)$, the transformation $f(x + h)$ shifts the graph horizontally by $h$ units: if $h > 0$, the shift is to the left; if $h < 0$, the shift is to the right. 3. Here, $g(x) = (x + 4)^3$ can be seen as $f(x + 4)$, so the graph of $f$ is shifted horizontally by 4 units to the left. 4. This is because adding 4 inside the function argument moves the graph left, not right or vertically. 5. Therefore, the correct description is: a horizontal transformation of function $f$ 4 units left. Final answer: B. a horizontal transformation of function f 4 units left