Question

If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

Answer 1

I would just draw the image flipped. However if you had 

Answer 2

Hello :)

We are given point A which is (-4,1)

The first thing you want to do is reflect our given point A(-4,1) over the y-axis using the rule: (x,y) → (-x,y)

A(-4,1) → A'(4,1)

Now, you want to reflect our new point A'(4,1) over the x-axis using the rule:(x,y) → (x,-y)

A'(4,1) → A'(4,-1)

Lastly, you want to rotate the point A'(4,-1) 180° using the rule: (x, y) → (−x−y)

A'(4,-1) → A'(-4,1)