Given the function, ƒ(x) = |x - 1| - 2, choose the correct transformation.left 1, up 2left 1, down 2right 1, up 2right 1, down 2

The correct transformation for the function ƒ(x) = |x - 1| - 2 is right 1, down 2.

Here's why:

1. The absolute value function, |x|, is transformed by shifting to the right by 1 unit when we subtract 1 inside the absolute value (i.e., |x - 1|). This is because the graph of |x - 1| is the same as the graph of |x|, but shifted to the right by 1 unit.

2. The "- 2" outside the absolute value function indicates a vertical shift downwards by 2 units. This is because subtracting a number outside the function shifts the graph downwards by that amount.

So, combining these two transformations, we get a shift to the right by 1 unit and a shift downwards by 2 units.