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) ?

A) g (x) = |x-4|

B) g (x) = |x+4|

C) g (x) = -4|x|

D) g (x) = |x|-4

That would be choice C.

The graph of 4|x| is shaped like a V whose vertex is at the origin.

Every y value will be positive for y = 4|x| as |x| is always positive and a reflection in the x axis will make every y value negative.