Question

The function y=log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?

Answer 1

The graph that looks like this is the graph of the translated function.

Answer 2

Given the function $y=\log x.$

1. Translation to the right 1 unit changes the function $y=\log x$ into the function $y=\log (x-1).$

2. Translation 2 units down changes the function $y=\log (x-1)$ into the function $y=\log (x-1)-2.$

3. Two translations change the funcion $y=\log x$ into the function $y=\log (x-1)-2.$

4. The graph of the final function you can see in attached diagram.