Question

figure wxyz is transformed using the rule ( r_{y\text{-axis}} circ 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? options: (3, 8), (-5, 8), (5, -8), (-3, -8)

Explanation:

Step1: Apply translation T_{-4,2} to W(1,6)

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

Step2: Reflect W' over y-axis

$W'' = (-(-3), 8) = (3, 8)$

Answer:

(3, 8)