Question

What is the image point of (5,6) after the transformation Dj Rg7o?

Answer 1

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:

`D_3\circ R_(270^o)`

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)