In the graphing tool, move the sliders for and . Find a value of k where the graphs coincide. At what value of k does this occur? What happens to each of the equations when k is negative?



When k = 1, both functions reduce to y = , so the two graphs are the same. For either equation, as k increases, the dilation is more pronounced in the vertical direction than in the horizontal direction. If k becomes negative in y = k , the graph moves from quadrant 1 to quadrant 4, reflecting about the x-axis. If k becomes negative in y = , the graph moves from quadrant 1 to quadrant 2, reflecting about the y-axis.