Answer:
Terrance is incorect.
Correct output coordinates (-y,-x)
Step-by-step explanation:
Let be the input coordinates.
First translation is a rotation of 180° clockwise about the origin. This translation has a rule
Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule
When a sequence of two translations are applied to the initial input coordinates, then
As you can see Terrance made a mistake and these two transformations do not cancel themselves out.