What is the image of a point (1,1) after it is rotated 270 degrees and then reflected over the y axis

Answer 1

A rotation of 270° of the point (1, 1) is the same as a reflection over the x-axis.

The point is at (1, -1)

Reflected over the y-axis the point is at (-1, -1)

Answer 2

After rotation on 279° point (1,1) = 2^1/2(cos45°,sin45°) became point 2^1/2(cos 315°,sin315°) = (1, - 1).;

Then after reflection over y-axis x-coordinate changed to -x. So, from point (1, - 1) we get (-1, -1).

Final answer: (- 1, - 1).