We are asked to translate the equation y=∣x∣ up by 7 units. Remember, when translating absolute value functions, vertical translations occur outside the absolute value. Consider the following general equation, where a is a real number. y=∣x∣+a The graph of this equation is a vertical translation of y=∣x∣ by a units. In this case, the value of a is 7. Translating "up" by 7 units means that we need to add this value. y=∣x∣ + 7