Final answer:
To reflect a function over the y-axis, x is replaced with -x. Assuming a typo in the original function and correcting it, the right answer among the provided choices would be option B: F(x) = (-x+4)^3, as this represents the reflection correctly.
Step-by-step explanation:
The question concerns finding the equation of a function after it is reflected over the y-axis. Reflecting a function over the y-axis involves replacing x with -x in the function's equation. Given the function F(x) - (x + 4), the reflection over the y-axis would transform it to F(-x) - (-x + 4). However, the question seems to have a typo, and the correct form of F(x) is missing, making it challenging to reflect it accurately.
Looking at the provided options and assuming a typical functional form before reflection, the correct answer would be option B: F(x) = (-x+4)^3. This is because reflecting the function would involve replacing x with -x, which is correctly applied in option B.