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?

ANSWER: When k = 1, both functions reduce to Y="ROOT"x , 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"root"x , the graph moves from quadrant 1 to quadrant 4, reflecting about the x-axis. If k becomes negative in y= "root"kx , the graph moves from quadrant 1 to quadrant 2, reflecting about the y-axis.