Answer:
- translation left 2 units
- reflection over the x-axis
Explanation:
You want a pair of transformations that will map ∆ABC to ∆A'B'C'.
Observation
We note that segment BC points downward, and segment B'C' points upward. This suggests a vertical reflection.
We also note that point A' is 2 units left of point A, suggesting a horizontal translation. It is as far below the x-axis as A is above the x-axis.
Transformations
The two transformations that map ∆ABC to ∆A'B'C' are ...
- reflection across the x-axis
- translation left 2 units
These transformations are independent of each other, so may be applied in either order.