Final answer:
To complete the algebraic description for the transformation from point R(-6, 5) to point U(5, -6), we calculate the differences in x and y coordinates. The transformation is described as (x + 11, y - 11).
Step-by-step explanation:
It appears there is some confusion in the question you've asked; however, it seems you're looking to complete an algebraic description for a transformation that maps point R(-6, 5) to point U(5, -6).
To find the algebraic description of the transformation in the form (x, y) to (x + Δx, y + Δy), you need to determine the changes (Δx and Δy) that occur in the x and y coordinates when moving from R to U.
For the x-coordinate:
Δx = x-coordinate of U - x-coordinate of R = 5 - (-6) = 11
For the y-coordinate:
Δy = y-coordinate of U - y-coordinate of R = -6 - 5 = -11
Therefore, the complete algebraic description of this transformation is (x + 11, y - 11).