How do we graph transformations that are dilation?

What Is Dilation?

Dilation: An enlargement or shrinking of a figure by a given scale factor produces similar figures 

What does the symbol of dilation look like? 
    Notation: Dn where n represents the scale factor rule for a dilation with a scale factor of n

        For Example: (X,Y)  -> ( nX, nY)
                              A`( 2, 4)->(4,8) when the scale factor is 2
   First Step is to multiple the X value by the scale factor
    Second Step is t multiple the Y value by the scale factor
   Then you get the "copy" of the original figure

       Watch this video below for more help on this topic

                                                                                                                                                                                   If the scale factor, N, is greater than 1, the image is an enlargement (a stretch).
If the scale factor is between 0 and 1, the image is a reduction (a shrink).

 Most dilation's in coordinate geometry use the origin, (0,0), as the center of the dilation.

For Example :

PROBLEM:  Draw the dilation image of triangle ABC with the center of  dilation at the origin and a scale factor of 2.

OBSERVE: Notice how EVERY coordinate of the original triangle has been multiplied by the scale factor (x2).

HINT: Dilation involve multiplication!

Example 2: 

PROBLEM:  Draw the dilation image of pentagon ABCDE with the center of  dilation at the origin and a scale factor of 1/3.

OBSERVE: Notice how EVERY coordinate of the original pentagon has been multiplied by the scale factor (1/3).

HINT: Multiplying by 1/3 is the same as dividing by 3!