Question

What are the coordinates of the image (-3,-1) after a 90 counterclock wise e about the orgin and then translation 4 units up

Answer 1

1. The counterclockwise rotation by 90° about the origin has rule:

(x,y)→(-y,x).

Then

(-3,-1)→(1,-3).

2. Translation 4 units up has rule:

(x,y)→(x,y+4).

Then

(1,-3)→(1,1).

Answer: after composition of transformations the image point has coordinates (1,1).