Question

What is the image point of (-12, —8) after the transformation R270 oD ?

Answer 1

(-12, -8) after R270°.D¼ becomes (-2, 3)

Step-by-step explanation

The first operation represented by R270° indicates a rotation of 270° counterclockwise about the origin.

When a rotation of 270° counterclockwise about the origin is done on some coordinate, A (x, y), it transforms this coordinates into A' (y, -x). That is, we switch y and x, then add negative sign to x.

Then, the second operation, D¼ represents a dilation of the coordinate about the origin by a scale factor of ¼ given.

The coordinates to start with is (-12, -8)

R270° changes A (x, y) into A' (y, -x)

So,

(-12, -8) = (-8, 12)

Then, the second operation dilates the new coordinates obtained after the first operation by ¼

D¼ changes A (x, y) into A' (¼x, ¼y)

So,

(-8, 12) = [¼(-8), ¼(12)] = (-2, 3)

Hope this Helps!!!