Translate each graph as specified below. (a) The graph of \( y=|x| \) is shown. Translate it to get the graph of \( y=|x|+3 \). (b) The graph of \( y=|x| \) is shown. Translate it to get the graph of \( y=|x+4| \).

To translate the graph of \( y=|x| \) to get \( y=|x|+3 \), you simply shift the entire graph vertically upwards by 3 units. This means that every point on the graph of \( y=|x| \) will move up by 3, giving you a “V” shaped graph that now starts at the point \( (0,3) \) and continues outward symmetrically. For the graph of \( y=|x| \) translated to \( y=|x+4| \), this involves a horizontal shift. Here, you'll move the graph left by 4 units. Essentially, every point on the original graph of \( y=|x| \) will now be located at its corresponding leftward position, starting from the point \( (-4,0) \) which becomes the new vertex of the "V."