Final answer:
To find the translation 3 units down of the function f(x) = x^2, subtract 3 from the function. Therefore, the function g(x) is x^2 - 3.
Step-by-step explanation:
To find the translation 3 units down of the function f(x) = x^2, we need to subtract 3 from the function.
This can be represented as g(x) = f(x) - 3. Substituting f(x) = x^2 into the equation, we get g(x) = x^2 - 3.
Therefore, the function g(x) is x^2 - 3.