Answer :
We start with the function
[tex]$$f(x)=\log x.$$[/tex]
When we replace [tex]$x$[/tex] by [tex]$x-84$[/tex], the function becomes
[tex]$$f(x-84)=\log(x-84).$$[/tex]
Recall that a transformation of the form
[tex]$$f(x-h)$$[/tex]
results in a horizontal shift of the graph of [tex]$f(x)$[/tex] by [tex]$h$[/tex] units to the right.
Here, we have [tex]$h = 84$[/tex], which means the graph shifts 84 units to the right.
Thus, the correct choice is:
The graph shifts 84 units to the right.
[tex]$$f(x)=\log x.$$[/tex]
When we replace [tex]$x$[/tex] by [tex]$x-84$[/tex], the function becomes
[tex]$$f(x-84)=\log(x-84).$$[/tex]
Recall that a transformation of the form
[tex]$$f(x-h)$$[/tex]
results in a horizontal shift of the graph of [tex]$f(x)$[/tex] by [tex]$h$[/tex] units to the right.
Here, we have [tex]$h = 84$[/tex], which means the graph shifts 84 units to the right.
Thus, the correct choice is:
The graph shifts 84 units to the right.
