Answer
Graphs:
.
Work Step by Step
Graph $f_{1}(x)=3^{x}$ first. We have the points:
$\left\{\begin{array}{l}
(-1,1/3)\\
(0,1),\\
(1,3)\\
(2,9)
\end{array}\right.$
We obtain the graph of $f(x)$ by vertically compressing $f_{1}(x)$ by the factor $\displaystyle \frac{1}{2}$. We have the points:
$\left\{\begin{array}{l}
(-1,1/6)\\
(0,1/2),\\
(1,3/2)\\
(2,9/2)
\end{array}\right.$
We obtain the graph of $g(x)$ by reflecting $f(x)$ about the y-axis. We have the points:
$\left\{\begin{array}{l}
(+1,1/6)\\
(0,1/2),\\
(-1,3/2)\\
(-2,9/2)
\end{array}\right.$
