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

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

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

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

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

Question

Which statement correctly describes the relationship between the graph of f(x) and  g(x)=f(x−3)?

The graph of g(x) is the graph of ​f(x) translated 3 units down.

The graph of g(x) is the graph of ​f(x)​ translated 3 units left.

The graph of g(x) is the graph of ​f(x)​ translated 3 units up.

The graph of g(x) is the graph of ​f(x) translated 3 units right.

royalranger · Answer

The graph moves about the axis. That narrows it down.

royalranger · Answer

x axis*

troy121101 · Answer

so left or right?

troy121101 · Answer

eliminate answer choice A and C? so it is either B or D?

royalranger · Answer

|dw:1481681136880:dw|

satellite73 · Answer

$$g(x)=f(x−3)$$  say for example $$f(x)=x^2, g(x)=f(x-3)=(x-3)^2$$

satellite73 · Answer

then the graphs look identical, but the first one has vertex $(0,0)$ and the second one has vertex $(3,0)$ os the graph  has shifted RIGHT

troy121101 · Answer

oh, I see, so D would be correct, sorry, I didn't get much out of @royalranger 's chart, thank you for clearing that