Answer:
The transformation
maps triangle XYZ onto triangle X”Y”Z”.
Step-by-step explanation:
Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.
Now Z = (-2, 2) and Z'' = (-7, -1).
The x-coordinate goes from -2 ⇒ -7.
The y-coordinate goes from 2 ⇒ -1.
The x-coordinate is just shifted by -5; thus, , and the y-coordinate first transforms as
, and is then shifted by 1; thus, it transforms as
.
So we have the full transformation