Triangle 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)
• (3,2)
• (2-1)
0 (-2,-3)
none of the other answers are correct
me

(- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

X has coordinates X(- 2, 3 ), hence

X'(2, 3 ) ← after reflection in the y- axis

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

Hence

X'(2, 3 ) → X''(- 3, 2 ) ← final image point

b is the final answer! : )

b

step-by-step explanation: