ANSWER:
(1, -2)
STEP-BY-STEP EXPLANATION:
The first thing is to determine the coordinates of point W and they are (4,2).
Now, we must apply the transformations.
The rule for a 180° rotation is as follows:
[tex]\begin{gathered} (x,y)\rightarrow(-x,-y) \\ \text{ therefore:} \\ W(4,2)\rightarrow W^{\prime}(-4,-2) \end{gathered}[/tex]
Then 5 units are translated to the right, that is, 5 units are added to the x coordinate, like this:
[tex]W^{\prime}(-4+5,-2)\rightarrow W^{\doubleprime}(1,-2)[/tex]
Therefore, the coordinates after both transformations is (1, -2)
