Question

Select the correct answer. Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3? PLS HELP A.

It is the graph of f(x) translated 3 units up.
B.
It is the graph of f(x) where the slope is decreased by 3.
C.
It is the graph of f(x) translated 3 units down.
D.
It is the graph of f(x) translated 3 units to the left.

Answer 1

The statement correctly describes the graph of g(x) is

C. It is the graph of f(x) translated 3 units down.

How to determine the transformation

According to problem, we have the equations

f(x) = x

g(x) = f(x) - 3

Lets examine the equations

The notable difference between both equations is -3

This represents translation 3 units down.