Answer:
See Attached
Step-by-step explanation:
You want the image of square WXYZ after rotation 270° CCW about the origin and reflection across the line x = -3, where the vertices are W(11, 2), X(13, 6), Y(9, 8), Z(7, 4).
Rotation
Rotation 270° CCW is the same as rotation 90° CW. The transformation rule is ...
(x, y) ⇒ (y, -x) . . . . . . rotation 270° CCW or 90° CW
Reflection
Reflection across the line x = -3 alters the x-coordinate of each point according to the rule ...
(x, y) ⇒ (-6 -x, y)
Both transformations
The net result of both transformations is the rule ...
(x, y) ⇒ (-6 -y, -x)
The resultant vertices are ...
W(11, 2) ⇒ W''(-8, -11)
X(13, 6) ⇒ X''(-12, -13)
Y(9, 8) ⇒ Y''(-14, -9)
Z(7, 4) ⇒ Z''(-10, -7)
The rotated reflected figure is the red one in the attachment.
