Respuesta :

Answer:

[tex]k=-2[/tex]

Step-by-step explanation:

we know that

Observing the graph

The point [tex](0,1)[/tex] in f(x) becomes to the point [tex](0,-1)[/tex] in g(x)

so

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

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

That means----> the translation is [tex]2[/tex] units down

therefore

[tex]g(x)=f(x)-2[/tex]

The value of [tex]k=-2[/tex]