Describing Transformations of Absolute Value Functions

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. $$\begin{array}{r}y=|x|+a\end{array}$$ 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 $"\text{up}"$ by $7$ units means that we need to $\text{add}$ this value. $$\begin{array}{r}y=|x|+7\end{array}$$