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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.


Respuesta :

calculista

we have

[tex]f(x)\\g(x)=f(x-3)[/tex]

we know that

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

[tex](x,y)-----> (x+3,y)[/tex]

that means

The translation is [tex]3[/tex] units to the right

therefore

the answer is the option A

The graph of g(x) is the graph of f(x) translated  [tex]3[/tex] units right


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