Which of the following describes graphing \( y \geq|x|+4 \) ? Translate \( y=|x| \) up 4 units and shade inside the \( V \). Translate \( y=|x| \) right 4 units and shade inside the \( V \). Translate \( y=|x| \) left 4 units and shade inside the \( V \). Translate \( y=|x| \) down 4 units and shade inside the \( V \).

To graph the inequality \( y \geq |x| + 4 \), we need to understand the graph of \( y = |x| \) and then apply the given translations. 1. The graph of \( y = |x| \) is a V-shaped graph with its vertex at the origin (0,0). The graph opens upwards. 2. To graph \( y \geq |x| + 4 \), we need to translate the graph of \( y = |x| \) up 4 units. This means that every point on the graph of \( y = |x| \) will be shifted 4 units upwards. 3. After translating the graph of \( y = |x| \) up 4 units, the new graph will be \( y = |x| + 4 \). This graph will also be a V-shaped graph, but it will be shifted upwards by 4 units. Therefore, the correct description of graphing \( y \geq |x| + 4 \) is to translate \( y = |x| \) up 4 units and shade inside the V.