Question #9c59d

1 Answer
Nov 5, 2017

See explanation

Explanation:

Graph of #lg(x-3)# is the same as that for #log(x)# but 'shifted' right by 3

The +2 just 'shifts' the whole thing upwards by 2

Note that #log(x)# is undefined for #x<=0#

So #log(x-3)# is undefined for #x<=3# resulting in a vertical asymptote as #x# tends to #color(white)()^(+)3#

So the general shape is that of the top #1/2# of type #sub#

Tony B