Explanation:
translated (shifted) 2 units to the right (positive x direction) creates the points
(-2 + 2, -2) = (0, -2)
(-2 + 2, -5) = (0, -5)
(-4 + 2, -5) = (-2, -5)
and now we rotate these points 90° clockwise around the origin.
that means a positive x turns into a negative y, a negative y into a negative x, a negative x into a positive y, and a positive y into a positive x.
and a 0 just trades places.
therefore,
(0, -2) becomes (-2, 0)
(0, -5) becomes (-5, 0)
(-2, -5) becomes (-5, 2)
so, overall
(-2, -2) becomes (-2, 0)
(-2, -5) becomes (-5, 0)
(-4, -5) becomes (-5, 2)