question #11 true or false. the function ( f(x)=log _{6}(x + 1)-2 ) has had the following transformations…

Explanation:

Step1: Recall transformation rules

For a function (y = f(x)), (y=f(x + h)) shifts the graph left by (h) units ((h>0)), and (y = f(x)-k) shifts the graph down by (k) units ((k>0)). For (y=\log_{6}(x + 1)-2), compared to (y = \log_{6}(x)), when we change (x) to (x + 1) ((h = 1)), the graph of (y=\log_{6}(x)) is shifted left by (1) unit. When we subtract (2) from (\log_{6}(x + 1)) ((k=2)), the graph is shifted down by (2) units.

Answer:

True