Question

The graph of (3(x+2)+1 / (x+2)^3)-6 is the same as the graph of 3x+1 / x^3 only it is shifted _____________.

start with 3x + 1/x^3

now replace x with x+2 and you will get

3(x+2) + 1/(x+2)^3 which will result in a horizonatal shift of 2 units to the LEFT

now if we subract 6 from that, resulting in a vertical shift of 6 units DOWN, we get your starting expression.

So the two graphs indeed have the same shape, the last one is "shifted" two to the left and 6 down to get the first.

Reverse the directions to get the shift from the first to the second