Question 192372
good  work

lets  go  over  basics.  BASE  function  is  y=logx.  The  graph  of  this  might  be  in  your  book,  but  a  rough  sketch  might  be,  x/y  axis  form.  function  starts  at  (- infinity)  when  x=o,  rises  to  (1,0),  and  then  continues  hitting  (10,1)

new  function  is  y=log(x-3)

1)  this  function is  translated  to  the  right  3.

2)  the  vertical  asymptote  is  at  x=3.   Note  y=log(3-3)= (- infinity)

3)  The  x  intercept  is  at  (4,0)  note  y=log ( 4-3)=log1=0

The  transformed  curve  is  same  as  base,  except  slid  3  units  to  right.  A  sketch  might  make  this  easier  to  understand.