Figure wxyz is transformed using the rule ry-axis • t-4, 2(x, y). point w of the pre-image is at (1, 6).
what are the coordinates of point w" on the final image?
a)(–5, 8)
b)(–3, –8)
c)(5, –8)
d)(3, 8)

answer-

the coordinates of point w" on the final image is (3, 8)

solution-

means first the point is translated left by 4 units and translated up by 2 units, then it is reflected across y axis. (the rules follow right to left approach)

the co-ordinate of point w is (1, 6).

after 4 units translation to left and 2 units translation to up, the co-ordinates will be,

(1-4, 6+2) = (-3, 8)

in reflection, when the mirror line is the y-axis   we change each (x,y) into (−x,y)

applying the same rule, the new co-ordinates will be, (3, 8)

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