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.
Only graph 2 shows a function that passes the horizontal line test. The other graphs will cross a horizontal line multiple times, meaning the function does not have an inverse.
