As given by the question
There are given that the value of g(x) is:
[tex]g(x)=f(x+8)+4[/tex]
Now,
According to the rule of transformation,
y = f(x+c) the function f(x) is being shifted c units left
And, for y=f(x)+d, the function f(x) is being shifed d units up
So,
In the given functiong(x)= f(x+8)+4 the value of c is 8 and value of d is 4
So,
The graph of g(x) is the graph of f(x) shifted 8 units to the left and 4 units up.
Hence, the correct option is A
