Translation involves changing the position of a shape or line or point.
The value of k is -3
The given parameter is:
[tex]\mathbf{g(x) = f(x) + k}[/tex]
From the attached graph, we can see that the line of f(x) is shifted down by 3 units to form g(x).
This means that:
[tex]\mathbf{g(x) = f(x) - 3}[/tex]
By comparing: [tex]\mathbf{g(x) = f(x) - 3}[/tex] and [tex]\mathbf{g(x) = f(x) + k}[/tex]
We have:
[tex]\mathbf{k = -3}[/tex]
Hence, the value of k is -3
Read more about translations at:
https://brainly.com/question/12463306
