Question

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

Answer 1

`k=-2`

Explanation:

we know that

Observing the graph

The point
`(0,1)` in f(x) becomes to the point
`(0,-1)` in g(x)

so

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

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

That means----> the translation is
`2` units down

therefore

`g(x)=f(x)-2`

The value of
`k=-2`