Answer
please see image below (f(x)=red curve, g(x)=blue curve),
asymptote of $f:\quad\quad y=0$
asymptote of $g:\quad\quad y=0$
Work Step by Step
Graph $ f(x)=3^{x}\qquad$ (red)
by plotting the points from the table and connecting with a smooth curve.
$g(x)=3\cdot 3^{x}=3\cdot f(x)$
so the graph of $g(x)$ (blue) is obtained by
vertically stretching the graph of f(x) by factor 3.
Reading the graph,
asymptote of $f:\quad\quad y=0$
asymptote of $g:\quad\quad y=0$
