[tex]Vertical:\:x=-4,\:Horizontal\:asymptote:\:y=0[/tex]
1) As requested we can begin this by finding the vertical asymptote, so let's pick the denominator equate that to zero and solve for x:
[tex]x+4=0\Rightarrow x=-4[/tex]
2) Now, let's focus on finding the horizontal asymptote. Note that the degree of the numerator is "0" and the degree of the denominator is: "1" since the exponent of x is 1. Based on that, we can tell that the horizontal asymptote is y=0 coinciding over the x-axis.
3) We can plot this way:
The Blue line: x=-4 and the horizontal asymptote is y=0
