Answer
$f(x)=\frac{3x}{(x+2)^2}$ matches with the graph labeled (h).
Work Step by Step
The vertical asymptote is:
$(x+2)^2=0$
$x+2=0$
$x=-2$
$f(0)=\frac{3(0)}{(0+2)^2}=0$. The graph passes through the origin.
The degree of the denominator is greater than the degree of the numerator. The horizontal asymptote is the line $y=0$, that is, the x-axis.
