Question

Which function is represented by the graph?

The parent absolute value function is translated
3 units and
1 unit.



The function that is graphed is f(x) =

Answer 1

Do you mean translated 3 units horizontally and 1 unit vertically? If so I need the directions (right/left and up/down). Commonly "translated 3 units right and 1 unit up" gives

f(x) = |x − 3| + 1.

If instead it is
- 3 right and 1 down: f(x) = |x − 3| − 1
- 3 left and 1 up: f(x) = |x + 3| + 1
- 3 left and 1 down: f(x) = |x + 3| − 1

Tell me which directions and I’ll confirm.