probably over thinking this but I'm confused
I am assuming that when you write (x+8)2 you actually mean (x+8)^2
To translate a function to the RIGHT any number of units, you SUBTRACT that number from x. Therefore:
g(x) = (x+3)^2
If you wanted to translate the function to the left, you would ADD the number to x. And if you wanted to translate a function up, you would ADD the number to the entire funtion. Likewise, you would SUBTRACT from the entire function if you wanted to translate the function down.