Question 196710
# 1

If the equation is {{{y=1/(x+4)-3}}}, then you are correct, the vertical asymptote is {{{x=-4}}} and the horizontal asymptote is {{{y=-3}}} (you're first choice)



# 2

Likewise, if the equation is {{{y=3/(x-1)-2}}}, the vertical asymptote is {{{x=1}}} and the horizontal asymptote is {{{y=-2}}} (again, you're first choice)



So you are correct on both of them.