Question

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.

Answer 1

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.

Answer 2

B) The graph shifts 3 units down.

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.