The graph of f(x) is obtained by reflecting the graph of g(x)=3|x| over the x-axis.

which equation describes f(x)?

a) f(x)=3|x|
b) f(x)= -3|x|
c) f(x)= |x+3|
d) f(x)= - |x+3)

Choice B), .

Step-by-step explanation:

Each point on the graph of can be represented as .

When the graph of is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, (same as ) will become , and vice versa. In general, will become .

On the other hand, points on the graph of can be represented as . is the reflection of , so and shall be equivalent. In other words,

.

there are infinitely many solutions.