Final answer:
The function f(x) = 8^x translated 2 units down is represented by f(x) = 8^x - 2 as the translation modifies the output of the function by subtracting 2 from it.
Step-by-step explanation:
When translating the function f(x) = 8^x vertically down by two units, you modify the output (y-value) of the function. For a downward shift, you would subtract the number of units from the function. Therefore, a translation of 2 units down is represented by f(x) = 8^x - 2. It is important not to confuse this with a horizontal shift, which would involve adjusting the input (x-value). To ensure understanding, remember that a vertical translation does not affect the base of the exponent—it purely changes the value after the function has been computed.