Explanation:
this is a typical curve of 1/x.
the asymptotes are at x = -2 and y = -4.
so, the horizontal shift compared to the basic 1/x is -2.
the vertical shift is -4.
that gives us the equation
f(x) = (1/(x + 2)) - 4
the "-4" moves everything down by 4 from the original 1/x position, as every calculated functional value of 1/x is decreased by 4.
the "+2" moves everything left by 2 from the original 1/x position, as now every functional value of 1/x happens 2 units "earlier".