Answer:
C is correct option. Please see attachment to see correct graph.
Step-by-step explanation:
We are given a function [tex]g(x)=4^{x-4}-8[/tex]
It is exponential function with base 4.
First we write parent function of g(x) and then using translation to reach the graph g(x)
It is exponent function with base 4. Parent function f(x).
[tex]f(x)=4^x[/tex]
Now we shift 4 unit right.
[tex]f(x)=4^{x-4}[/tex]
Now we shift 8 unit down
[tex]f(x)=4^{x-4}-8=g(x)[/tex]
Thus, C is correct option. Please see attachment to see correct graph.
