Answer:
Step-by-step explanation:
We have to sketch the asymptotes of the given function y = 6/(x -2) + 4
1) For horizontal asymptotes
In the given function y = 6/(x -2) is in the form of 
Degree of x in numerator is lower than denominator therefore horizontal asymptote is y = 0
Since y = 6/(x -2) is shifted 4 upwards so horizontal asymptote for the shifted function will be y = 0+4 = 4
2) For vertical asymptotes
We will put the denominator of the function equal to the zero.
(x - 2) = 0
x = 2 is the vertical asymptote.