Answer:
The graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).
Step-by-step explanation:
The parent log function is
\(y=\log x\)
The translation of the function is defined as
\(y=\log (x+a)+b\) .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The given function is
\(y=\log (x-5)\) .... (2)
From (1) and (2), we get
\(a=-5,b=0\)
Since a=-5<0, therefore the graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).
