Question

Which statement correctly describes the relationship between the graph of f (x) and g (x) = f (x − 7)?

A. The graph of g (x) is the graph of ​f (x) translated 7 units down.

B. The graph of g (x) is the graph of ​f (x) translated 7 units left.

C. The graph of g (x) is the graph of ​f (x) translated 7 units up.

D. The graph of g (x) is the graph of ​f (x) translated 7 units right.

Answer 1

The negative sign in front of the 7 inside the parentheses indicates that the graph moved 7 units to the right (a bit counter-intuitive, I know), so the correct answer is D: the graph of g(x) is the graph of f(x) translated 7 units right.

Hope this helps.