SOLUTION: The vertices of Triangle ABC are A (2,1), B (3,3), and C (4,0). Find the image after the given composition. Translation:(x,y)--> (x- 6, y- 4) Dilation: centered at the origin wi

Question 596274: The vertices of Triangle ABC are A (2,1), B (3,3), and C (4,0). Find the image after the given composition.
Translation:(x,y)--> (x- 6, y- 4)
Dilation: centered at the origin with a scale factor of 3

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
(x,y)--> (x- 6, y- 4) means "take every x and subtract 6 from it to form the new x and take every y and subtract 4 from it to get the new y.

So A(2,1) translates to (-4, -3) because

New x: 2 - 6 = -4
New y: 1 - 4 = -3

Do the same with the other points to get

B(3,3) translating to (-3,-1)

and

C(4,0) translating to (-2,-4)
=================================================================

With the scale factor of 3, this means that each coordinate is multiplied by 3.

So
A(2,1) dilates to (6,3)
B(3,3) dilates to (9,9)
C(4,0) dilates to (12,0)
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