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.

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