Question

HELP ME PLSSS ITS DUE TODAY

Answer 1

S' (2, 1) S'' (1, 3)

T' (5, 3) T'' (4, 5)

U' (1, -4) U'' (0, -2)

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.

Answer 2

S': (2, 1)

T': (5, 3)

U': (1, -4)

S'': (1, 3)

T'': (4, 5)

U'': (0, -2)

Explanation:

Hi!

For Reflection Across the X-Axis use this :

(x, y) -> (x, - y)

So :

S': (2, 1)

T': (5, 3)

U': (1, -4)

and then the question also asks for a translation so we follow what it gave us:

S'': (1, 3)

T'': (4, 5)

U'': (0, -2)

Please ask me any questions that you still may have!

and Have a great day! :)