Exploring Dilations in the Coordinate Plane

Explore dilations on the graph below.
[b][u]First[/u][/b]: Spend 10 minutes playing with the graph below.[br][br]Things you can do.[br][list][*]You can drag the vertices of the pre-image (A, B, C) around.[/*][*]You can move the "Center" around.[/*][*]You can change the Scale Factor of the image by using the slider.[/*][*]You can enable/disable the scaled image using the "Image" check box.[br][/*][*]You can enable/disable the scale lines using the "Movement of Points" check box.[/*][/list][br][b][u]Then[/u][/b]: Discuss the questions below with other students around you and answer the questions. Each student must answer the questions.
Dilations
Question 1
How does the [b][u]scale factor[/u][/b] influence the location of the pre-image and corresponding image points with regards to the center?
Question 2
How does the [b][u]scale factor[/u][/b] and [u][b]center[/b][/u] influence the length of the pre-image sides and their corresponding image sides.
How does the [b][u]scale factor[/u][/b] and [b][u]center[/u][/b] influence the location of the image with regards to the pre-image?
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Information: Exploring Dilations in the Coordinate Plane