find the coordinate of U' after a 90° counterclockwise rotation of the triangle about the origin and then a translation of 2 units down and 5 units left.

Answer: U' = (0, 1)
Step-by-step explanation:
U = (3, -5)
rotate 90° counterclockwise means (x, y) = (-y, x)
new U = (5, 3)
down 2 units means subtract 2 from the y-coordinate
newer U = (5, 1)
left 5 units means subtract 5 from the x-coordinate
U' = (0, 1)