Answer :
Using translation concepts, considering point V(x,y), the location of V'' is given as follows:
V'' (-y + 4, x - 2).
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the rectangle is missing and I couldn't find it on a search engine, hence we consider the generic point (x,y).
For the first translation, we have that:
(x,y) -> (x - 2, y - 4).
Meaning that the rectangle was shifted 2 units left and 4 units down.
The rule for a 90º counterclockwise rotation about the origin is:
(x,y) -> (-y,x).
Hence:
(x - 2, y - 4) -> (-(y - 4), x - 2) = (-y + 4, x - 2).
The location of V'' is given as follows:
V'' (-y + 4, x - 2).
More can be learned about translation concepts at https://brainly.com/question/4521517
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