Question

Graph the function and identify the vertical asymptote y=(1/x-4)-2

Answer 1

if this is the function your referring to: \(\large y=\frac{1}{x-4}-2 \)
then this graph looks exactly the same as: \(\large y=\frac{1}{x} \) with the following transformations:
the graph of \(\large y=\frac{1}{x-4}-2 \) is
a horizontal translation 4 units to the right and a vertical translation 2 units down.