The function of the graph is [tex]y = (\frac12)^{x +3} -1[/tex]
The root expression of the graph is:
[tex]y = (\frac12)^x[/tex]
The graph is first shifted to the right by 3 units.
So, we have:
[tex]y = (\frac12)^{x +3}[/tex]
Next, the graph is shifted down by 1 unit.
So, we have:
[tex]y = (\frac12)^{x +3} -1[/tex]
Hence, the function of the graph is [tex]y = (\frac12)^{x +3} -1[/tex]
Read more about function transformation at:
https://brainly.com/question/4289712
