describe how the graphs of y=|x| and y=|x+2|

1 answer

The graph of y=|x| is a V-shaped graph that opens upwards with the vertex at (0,0). It consists of two straight lines that meet at the origin (0,0) forming a 90-degree angle. The slope of the lines on either side of the vertex is 1.

The graph of y=|x+2| is also a V-shaped graph that opens upwards, but it is shifted two units to the left compared to the graph of y=|x|. The vertex of the graph is located at (-2,0). It consists of two straight lines that meet at the point (-2,0), forming a 90-degree angle. The slope of the lines on either side of the vertex is 1.

In summary, both graphs have V-shaped structures, but the graph of y=|x+2| is shifted two units to the left compared to the graph of y=|x|.