The graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis.which equation describes  g(x)?   g(x)=|x+4|g(x)=|x|−4g(x)=|x−4|g (x)=−4|x|

Option D

Step-by-step explanation:

The given function is

It is given that the graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis.

If a figure reflected across x-axis, then the rule of reflection is

Using the above rule, if the given function reflected across x-axis, then g(x)=-f(x).

The equation g(x)=-4|x| describes g(x).

Therefore, the correct option is D.