Translation involves moving a function along the coordinates
The graph that represents [tex]y = |x - 3| + 1[/tex] is graph B
The parent function of an absolute function is;
[tex]y = |x|[/tex]
When a function is translated right by h units, the transformation rule is:
[tex]y = |x - h|[/tex]
So:
[tex]y = |x - 3|[/tex] means that:
[tex]y = |x|[/tex] is translated right by 3 units
When a function is translated up by k units, the transformation rule is:
[tex]y = |x | + k[/tex]
So:
[tex]y = |x - 3| + 1[/tex] means that:
[tex]y = |x|[/tex] is also translated up by 1 unit
This means that:
[tex]y = |x|[/tex] is translated right by 3 units and 1 unit up to form [tex]y = |x - 3| + 1[/tex]
Hence, graph (b) is correct
Read more about translations at:
https://brainly.com/question/12463306
