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 Dec 7, 2018
 #1
avatar+94452 
+1

We can do this with a "formula"

 

New point =  [ old point - center of dilation ] (scale factor) + center of dilation

 

First one

 

New point =  [ ( 2,4) - (0,0)] (1/2) + (0,0) =   [ 2,4](1/2) + (0,0) = (1,2)

New point  = [ ( -2, 8) - (0,0) ] (1/2) +  (0,0) = [ -2,8](1/2) + (0,0) = (-1, 4)

New point = [ (-4, 2) - (0,0)](1/2) + (0,0) = [-4,2](1/2) + (0,0) = (-2, 1)

 

Here's the graph:

 

 

 

cool cool cool

 Dec 7, 2018
 #2
avatar+94452 
+1

Here's the second one

 

New point =

[ (1, 4) - (-3, 1) ] (2) + (-3, 1) = [ 4, 3 ](2) + (-3,1) = [ 8, 6] + (-3, 1) = ( 5, 7)

 

New point =

[ (2, 2) - (-3,1)](2) + (-3, 1) = [ 5,  1](2) + (-3, 1)  = [ 10,2] + (-3, 1) = (7, 3)

 

New point

[ (-3, 3) - (-3, 1)](2) + (-3,1) = [ 0, 2] (2) + (-3,1) = [ 0, 4] + (-3, 1) = (-3, 5)

 

Here's the image

 

 

See if you can do the last one....

 

 

cool cool cool

 Dec 7, 2018

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