Answer:
[tex]g(x)= 24(3)^{x-2}+6[/tex]
Step-by-step explanation:
f(x)=8(3)^x−2 +2
The graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x)
When f(x) is stretched vertically then we multiply f(x) by 3 to get g(x)
g(x) = 3f(x)
[tex]g(x)= 3(8(3)^{x-2}+2)[/tex]
Now we distribute 3 inside the parenthesis
[tex]g(x)= 24(3)^{x-2}+6[/tex]
This is our required g(x)
