Question

question 14 6 pts δ xyz is reflected across the y - axis. then its image is rotated 90° about the origin. what are the coordinates of the final image of point x under the composition of transformations? (3, 2) none of the other answers are correct (2, - 1) (-3, 2) (-2, -3)

Explanation:

Step1: Determine initial coordinates of X

From the graph, point X has coordinates (-3, 2).

Step2: Reflect across y - axis

The rule for reflecting a point (x, y) across the y - axis is (-x, y). So, for X(-3, 2), the image after reflection across the y - axis is X'(3, 2).

Step3: Rotate 90° about the origin

The rule for rotating a point (x, y) 90° counter - clockwise about the origin is (-y, x). For X'(3, 2), the final image after rotation is X''(-2, 3). Since this is not among the given options, the correct answer is that none of the other answers are correct.

Answer:

None of the other answers are correct