describe the transformation of y=log (x-4) -1

2
from the graph of y=log X.
2

then state the asymptote and the domain range.

1 answer

to get from y = logx to y = log(x-4) - 1
translate the original 4 units to the right, then down 1 unit

domain of new function: x > 4
range: all values of y

the line x = 4 is a vertical asymptote, no other asymptotes.