Answer:
a translation of 1 unit to the right and 3 units up and then a reflection across the y-axis
Explanation:
First, let's identify the coordinates of the vertex R, S, T and its images R', S', and T'.
R(-6, -2) ---> R'(5, 1)
S(-5, -5) ---> S'(4, -2)
T(-3, -3) ---> T'(2, 0)
Then, we can observe that the transformation was a translation of 1 unit to the right and 3 units up and the a reflection over the y-axis because:
A translation of 1 unit right and 3 units up is made by the following rule
(x, y) ---> (x + 1, y + 3)
So, each vertex is translated to
R(-6, -2) ---> (-6 + 1, -2 + 3) = (-5, 1)
S(-5, -5) ---> (-5 + 1, -5 + 3) = (-4, -2)
T(-3, -3) ---> (-3+ 1, -3 + 3) = (-2, 0)
Then, the reflection over the y-axis is
(x, y) ---> (-x, y)
So,
(-5, 1) ---> R'(5, 1)
(-4, -2) ---> S'(4, -2)
(-2, 0) ---> T'(2, 0)
Therefore, the answer is:
a translation of 1 unit to the right and 3 units up and then a reflection across the y-axis
