Dilation of functions :: Stretching and Compression

Move the sliders to explore the effects of dilating the function using and . Start with both sliders , then move slider and compare the result with the original graph. What do you notice? Can you explain what happens? Next move slider and move slider . What happens this time? In both cases, try to explain what happens using the words dilation or stretch.
Starting with , note the coordinate of the vertex. Next move the slider to , what is the new value of the vertex? Continue with different values of . Now try the same with slider . This time choose a coordinate you wish to track and write down the coordinate. Move slider and check the new position of that coordinate.