QuestionOnsider the function: $\quad g(x)=-\frac{1}{2}(3)^{x+4}+5$ Describe the transformations made to the base function $\mathrm{f}(\mathrm{x})$. Use the correct terminology learned in class. [4 Marks] b) Complete the table of values for the base function and the transformed function. Make sure to show the mapping rule (i.e. how you change $x$ and $y$ for $g(x)$ ). Use 6 points. [4 Marks] \begin{tabular}{|c|c|c|c|} \hline$f(x)=$ & & $g(x)=$ \\ \hline$x$ & $y$ & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular} c) Graph the transformed function. Draw and label any asymptotes. [2 marks]