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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.

Respuesta :

kcecil
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
calculista

we have that

[tex]f(x)\\g(x)=f(x+2)[/tex]

we know that

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

[tex](x,y)----> (x-2,y)[/tex]

that means

the graph of g(x) is the graph of f(x) translated [tex]2[/tex] units left

therefore

the answer is the option

the graph of g(x) is the graph of f(x) translated [tex]2[/tex] units left

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