The function [y = log(x)] is translated 1 unit right and 2 units down and the translated function is [g(x) = log(x - 1) - 2] and this can be determined by using the rules of the transformation.
Given :
The function y=log(x) is translated 1 unit right and 2 units down.
The following steps can be used in order to sketch the graph of the translated function:
Step 1 - Write the given function.
y = log(x)
Step 2 - According to the given data, translate the given function in the right direction that is in the positive x-axis direction by factor 1. So, the above function becomes:
f(x) = lox(x - 1)
Step 3 - Now, translate the graph of the function f(x) in the downward direction that is in the negative y-axis direction. So, the above function becomes:
g(x) = log(x - 1) - 2
The graph of the function g(x) is attached below.
For more information, refer to the link given below:
https://brainly.com/question/20381610
