Which of the following statements best describes the effect of replacing the graph of f (x) with the graph of f (x) - 3?

A) The graph shifts 3 units up.

B) The graph shifts 3 units down.

C) The graph shifts 3 units left.

D) The graph shifts 3 units right.

Alright Im not to good with graphs but.

I think If it goes down it would be a negative so I would Have to say B would be the answer.

B) The graph shifts 3 units down.

Step-by-step explanation:

The parent function is f (x) and we the translated function is in the form f (x) - 3.

Transformation Rule:

If the parent function is f (x) and if we subtract some constant 'a' in f (x) then the function will move down by 'a' units.

Here 3 has been subtracted with f (x). Thus, from the transformation rule, we can conclude that f (x) will shift down by 3 units.

Therefore, the correct option is

B) The graph shifts 3 units down.