Select the correct answer.

Question

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

Answer 1

The correct answer is:

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

This transformation occurs because when you subtract 3 from the function \( f(x) = x \), you shift the entire graph down by 3 units.