Given:
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation:
[tex]D_2(x,y)=(2x,2y)[/tex].
To find:
The [tex]D_4[/tex] for point A (-2, 3).
Solution:
If [tex]D_2(x,y)=(2x,2y)[/tex], then
[tex]D_4(x,y)=(4x,4y)[/tex]
Substitute x=-2 and y=3 in the above rule to find [tex]D_4[/tex] for point A (-2, 3).
[tex]D_4(-2,3)=(4(-2),4(3))[/tex]
[tex]D_4(-2,3)=(-8,12)[/tex]
Therefore, [tex]D_4[/tex] for point A (-2, 3) is (-8,12).
