4) Find g(x) , where g(x) is the translation 3 units down of f(x)=x^2 4) Write your answer in the form a(x-h)^2+k , where a, h, and k are integers g(x)= square

To find the translation of the function 3 units down, we need to subtract 3 from the original function.The general form of a quadratic function is , where , , and are integers.In this case, the translation is 3 units down, so .Since there is no horizontal shift, .The coefficient remains the same as the original function, which is 1.Therefore, the translated function is: Simplifying, we get: So, the answer is: