A rotation of 270 degrees about the origin would transform the figure as follows:
Which does not maps the A to A'.
Now, one sequence of transformations that take A to A' is:
1)First, a reflection over the x-axis would transform the figure as follows:
2) We translate the figure 3 units up and 4 units to the right:
Answer: Reflection over the x-axis, translation 3 units up and 4 units to the right.