Answer:
Reflection in the x-axis followed by a translation 5 units left and 1 unit up
Step-by-step explanation:
The coordinates of X are (-6,2).
When we reflect in the x-axis we get X'=(-6,-2)
When we translate by the rule T(x-5,y+1), we get X"=(-6-5,-2+1)=(-11,-1)
The coordinates of Y are (-4,7).
When we reflect in the x-axis we get Y'=(-4,-7)
When we translate by the rule T(x-5,y+1), we get Y"=(-4-5,-7+1)=(-9,-6)
The coordinates of Z are (-2,2).
When we reflect in the x-axis we get Z'=(-2,-2)
When we translate by the rule T(x-5,y+1), we get Z"=(-2-5,-2+1)=(-7,-1)
Therefore the sequence of transformation is a reflection in the x-axis followed by a translation 5 units left and 1 unit up.
