Question 1012179
Hi there!
Thanks for the question.

So we are given the exponential function {{{y=2(4)^(x+3) - 5}}}. Since a = 2, the graph is compressed. Since the graph has an exponent of x + 3 and a vertical shift of -5. The graph of {{{y=4^x}}} will be shifted to the left 3 units and down 5. I apologize for the lack of graphics. It is difficult to upload media on here. But you can look at desmos.com. Now, since y=4^x or any exponential function with no vertical shift has an asymptote of y =0, the asymptote will be shifted down 5 units to y = -5. 

Hope this helped! :)