What is the image point of (9,-1)(9,−1) after the transformation T_{-4,-3}\circ R_{270^{\circ}}T −4,−3

∘R
270
∘


?

(2,9)

Explanation:

Given: A point (9,-1) is first translated by rule followed by rotation of 270° .

Rule of  rotation of 270° :

Image of (9,-1) after translation:

Then, image after rotation of 270° :

Hence, the image point of (9,-1)(9,−1) after the transformation and  rotation of 270°  is (2,9).