Question

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?

The graph of g(x) is the graph of ​f(x)​ translated 2 units left.

The graph of g(x) is the graph of ​f(x)​ translated 2 units up.

The graph of g(x) is the graph of ​f(x)​ translated 2 units down.

The graph of g(x) is the graph of ​f(x)​ translated 2 units right.

Answer 1

we have that

`f(x)\\g(x)=f(x+2)`

we know that

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

`(x,y)----> (x-2,y)`

that means

the graph of g(x) is the graph of f(x) translated
`2` units left

therefore

the answer is the option

the graph of g(x) is the graph of f(x) translated
`2` units left

Answer 2

It would be the first answer, the graph if g(x) is the graph of f(x) translated 2 units left
This is because the +2 is in the parentheses with the x which makes it move left or right and because it’s positive you would do the opposite and more it left