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: ( (-5, 8) ), ( (5, -8) ), ( (-3, -8) ), ( (3, 8) )

Explanation:

Step1: Apply translation T₋₄,₂ to W(1,6)

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

Step2: Reflect W'(-3,8) over y-axis

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

Answer:

(3, 8)