What would triangle RST with vertices R(-4,-1), S(-1,3), and T(-1,1) reflected in y=2 and then reflected in y=-2 look like? What would be the two other sets of coordinates be?
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First let's reflect the triangle in just y=2.
This moves vertex R to R1 (-4,+5),
vertex S to S1 (-1,1), and
vertex T to T1 (-1,3).
The triangle "looks" the same but upside down.
Next, reflect it in y = -2.
Now R1 becomes R2 (-4,-9)
S1 becomes S2 (-1,-5)
T1 becomes T2 (-1,-7).
Now the triangle "looks" exactly as it originally did,
except it's been moved downward by 8 units.
This moves vertex R to R1 (-4,+5),
vertex S to S1 (-1,1), and
vertex T to T1 (-1,3).
The triangle "looks" the same but upside down.
Next, reflect it in y = -2.
Now R1 becomes R2 (-4,-9)
S1 becomes S2 (-1,-5)
T1 becomes T2 (-1,-7).
Now the triangle "looks" exactly as it originally did,
except it's been moved downward by 8 units.