Question

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x-3)

A. The graph of g(x) is the graph of f(x) translated 3 units right

B. The graph of g(x) is the graph of f(x) translated 3 units left.

C. The graph of g(x) is the graph of f(x) translated 3 units up.

D. The graph of g(x) is the graph of f(x) translated 3 units down.

Answer 1

we have

`f(x)\\g(x)=f(x-3)`

we know that

the rule of the translation of f(x) to g(x) is

`(x,y)-----> (x+3,y)`

that means

The translation is
`3` units to the right

therefore

the answer is the option A

The graph of g(x) is the graph of f(x) translated
`3` units right