Question

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)=|x|−4
D) g(x)=−4|x|

Answer 1

The graph of 4|x| is shaped like a V where the vertex is at the origin ( because when x = 0 y=0) All y  values are positive ( because of the absolute  value |x| )

Refection in the x-axis will make all the y values change from positive to negative  so the answer is y = -4|x|

g(x) = -4|x|