Answer:
S' (2, 1) S'' (1, 3)
T' (5, 3) T'' (4, 5)
U' (1, -4) U'' (0, -2)
Step-by-step explanation:
The preimage is S (2,-1), T (5, -3) U(1,4).
Preimage: the original figure prior to a transformation.
The directions say to reflect the preimage over the x-axis.
To do this, follow this transformation rule: (x, y) → (x, -y)
This means keep the x-coordinate as it is, but then change the sign of the y-coordinate.
S (2, -1) → S' (2, 1)
T (5, -3) → T' (5, 3)
U (1, 4) → U' (1, -4)
Next, take the coordinates from the last transformation then translate it using the rule: (x, y) → (x-1, y+2)
This means subtract 1 from the x-coordinate, then add 2 to the y-coordinate.
S' (2, 1) → S'' (1, 3)
T' (5, 3) → T'' (4, 5)
U' (1, -4) → U'' (0, -2)
Notice that each time you do a transformation, you add an apostrophe next to the letter. In math, this symbol is called a 'prime symbol.'
I hope this helped! Let me know if you have any questions.
