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Graph the image of the figure after a dilation with a scale factor of 13 centered at (1, −2) .

Use the polygon tool to graph the triangle by connecting all its vertices.

The graph points are (4,7),(-8,4),(-8,-2) I know how to dilate them, but it's centered at (1,-2) so I'm confused 

 Jan 5, 2018
 #1
avatar+101870 
+1

The "formula"  for finding the new points is as follows

 

New Point  = [  Old Point - Dilation Center ] *Scale Factor + Dilation Center

 

Here's the first one.....you should be able to do the other three based on this....if not, let me know

 

Note that  (a, b)  - (c, d)  = ( a - c , b - d)       and  (a , b) + (c , d)  = (a + c , b + d)

 

Here's the dilation result for  (4,7) 

 

New Point =  [  (4, 7)  - ( 1, -2) ] * 13  +  (1,-2)

 

=   [  ( 3, 9) ] * 13  +  (1,-2)

 

=    (39, 117 )  +  (1, -2)

 

 (40, 115)

 

 

cool cool cool

 Jan 6, 2018
edited by CPhill  Jan 6, 2018
edited by CPhill  Jan 7, 2018

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