Rotation 270° about the origin transforms the point (x, y) into (-y, x)
Dilation by a factor of 3 transforms the point (x, y) into (3x, 3y)
The sequence of transformations:
[tex]D_3\circ R_{270^o}[/tex]
means that first, we have to rotate the point 270° about the origin, as follows:
(5, 6) → (-6, 5)
and next, we have to dilate the point by a factor of 3, as follows:
(-6, 5) → (3*-6, 3*5) → (-18, 15)
After the transformations, the image is (-18, 15)
