The graphs of functions f(x) and g(x) = f(x) + k are shown below

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]