The graph of the function f (x) = |x+3| is translated 5 units down. What is the equation of the transformed function? Enter your answer in the box. g (x) =

f (x) = |x + 3| is translated 5 units down, meaning this is a vertical translation (up and down). Vertical translations are written outside of the "parentheses" (could be sq. root, abs. value symbols) while horizontal translations are written inside the parentheses.

Since this is a vertical translation the 5 units down would be written outside of the abs. value symbols. It would be a negative 5 because in vertical translations, up = + and down = -.

Your final answer is g (x) = |x + 3| - 5.