Answer
See graph.
Work Step by Step
Step 1. Given $f(x)=\frac{x^2+4}{x+2}=x-2+\frac{8}{x+2}$, we can identify its V.A. $x=-2$, H.A. $none$, O.A. $y=x-2$, x-intercepts: $none$, y-intercepts: $f(0)=2$.
Step 2. Use the above information and test points to graph the function as shown in the figure.