Answer
The function $y=\ln(x+3)$ matches with the graph labeled (f).
Work Step by Step
y-axis intercept ($x=0)$:
$y=\ln(0+3)=\ln3\approx1.1$
The graph of $y=\ln x$ increases as $x$ increases. So, the graph of $y=\ln(x+3)$ also increases as $x$ increases.
Vertical asymptote:
$x+3=0$
$x=-3$