Describe how the graphs of y = |x| and y = |x| – 15 are related.
The graphs of y = |x| and y = |x| – 15 are related by a vertical shift of 15 units down.
The graph of y = |x| is a V-shape centered at the origin (0,0). It consists of all points (x,y) where y is the absolute value of x. The graph of y = |x| – 15 shifts the entire graph vertically downward by 15 units, meaning that every y-coordinate is decreased by 15.
As a result, the V-shape of y = |x| – 15 is centered at the point (0, -15). The vertex of the V-shape is located at this point, since it represents the minimum value of y.
In summary, the graph of y = |x| – 15 is the same shape as the graph of y = |x|, but it is shifted 15 units downward.