Answer:
The third statement is true: The graph of y=log (x) + 4 is the graph of y=log(x) translated 4 units up.
Step-by-step explanation:
Using translation concepts, it is found that the graph of [tex]y = \log{x - 4}[/tex] is the graph of [tex]y = \log{x}[/tex] translated 4 units right.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
[tex]y = \log{x}[/tex]
The translated function is given by:
[tex]y = \log{x - 4}[/tex]
The change was in the domain, in which [tex]x \rightarrow x - 4[/tex], which means that the function was translated 4 units right.
More can be learned about translation concepts at https://brainly.com/question/4521517
