We are asked to translate the graph of y=∣x∣ down 5 units. Recall that, when translating absolute value functions, vertical translations occur outside the absolute value symbol. Let's consider a general equation, where a is a real number. y=∣x∣+a The graph of the above equation is a vertical translation up a units of the graph of y=∣x∣. In our case, since the translation is performed down, the value of a is -5. y=∣x∣−5