Transcript text: Use transformations of the graph of $f(x)=2^{x}$ to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs.
\[
g(x)=2^{x+6}
\]
Graph $\mathrm{g}(\mathrm{x})=2^{\mathrm{x}+6}$ and its asymptote. Use the graphing tool to graph the function as a solid curve and the asymptote as a dashed line.