Answer:
Horizontal translation of 4 units left
vertical translation of 8 units up
Step-by-step explanation:
f(x)= 2^x and [tex]g(x)= 2^{x+4} +8[/tex]
To get the graph of g(X) from f(x) we do transformations
f(x)-----> f(x)+a, when any number added at the end of f(x) then there will be a vertical translation by 'a' units (up or down)
f(x)-----> f(x+a), when any number added with x inside f(x) then there will be a horizontal translation by 'a' units (left or right)
f(x)= 2^x
f(x) = 2^(x+4) , 4 is added with x
So Horizontal translation of 4 units left
Now we add 8 at the end to get g(x)
so vertical translation of 8 units up