Describe how the graphs of y equals start absolute value x end absolute value and y equals start absolute value x plus 2 end absolute value are related.
The graphs of y = |x| and y = |x + 2| are related through a horizontal shift.
The graph of y = |x| is a V-shape with the vertex at the origin (0,0). It reflects any negative values of x onto the positive side of the y-axis.
When we introduce the horizontal shift of +2, the graph of y = |x + 2| shifts to the left by two units. This means that the vertex of the graph is now located at (-2,0) instead of (0,0).
The rest of the graph retains the same V-shape as y = |x|, but it is now translated two units to the left. Therefore, the horizontal shift affects the entire graph uniformly.