AXYZ is in Quadrant 1. It is rotated 90° counterclockwise around the origin. Then AX'Y'Z' is reflected across the y-axis. Then AX"Y"Z" is translated 5 units to
the right. In which Quadrant is AX"Y"" Z"'? How do you know?

Quad 1

Step-by-step explanation:

AXYZ is in the 2nd quad bc of the rotation, then goes back to 1st quad bc of reflection (y axis). After this, the translation doesn't affect the movement of quadrants.  A""X""Y""Z"' lands in quadrant 1.

1st quadrant

Step-by-step explanation:

1. Rotated 90° counterclockwise from the 1st quadrant, moves object to the second quadrant.

2. Reflection across y-axis, moves object back to the 1st quadrant.

3. Translation to the right is moving to the right inside the 1st quadrant.