Answer:
Option: B is the correct answer.
the equation of this function after it is reflected over the x-axis is:
B) [tex]F(x)=-(x+4)^3[/tex]
Step-by-step explanation:
We know that for any function [tex]y=f(x)[/tex] if we reflect the function f(x) over the x-axis, then the transformation that is applied to the function f(x) is:
[tex]y=-f(x)[/tex]
Here we are given a graph of the function [tex]F(x)[/tex] which is given by:
[tex]F(x)=(x+4)^3[/tex]
Hence, when we reflect this given function over the x-axis than the transformed function is given by:
[tex]F(x)=-(x+4)^3[/tex]
