Question

Given the point P(5,-3). Rotate the following point 90 degrees CCW. Then translate (x,y) + (x-4, y+3). What are the coordinates of the final image

Answer 1

1) Following that order of transformations, let's start by rotating it 90º CCW

Rotating 90º CCW

Pre-Image Image

(5,-3) -------------------> (-3,5)

(x, -y) ------------------------- > (-y, x)

2) Performing a translation 4 units to the left, and 3 units up.

Translating

Pre-image Image

(-3,5) (-7, 8)

(x, y) ----------------------------------> (x-4, y+3)

3) Hence, the final coordinates of that point after those two transformations is (-7,8)