In the translation of graph,
the image is
g(x)=f(x-h)+k
where
h=translation to the right
k=translation upwards.
For the given transformation,
g(x)=f(x-(-8))+4
we see that h=-8, k=+4
so we conclude that g(x) is a translation of f(x) 8 units to the left, and 4 units up.
