Question

figure wxyz is transformed using the rule $r_{y - axis}circ t_{-4,2}(x,y)$. point w of the pre - image is at $(1,6)$. what are the coordinates of point w on the final image? (-3,-8) (5,-8) (-5,8) (3,8)

Explanation:

Step1: Apply translation

The translation rule $T_{- 4,2}(x,y)=(x - 4,y + 2)$. For point $W(1,6)$, substituting $x = 1$ and $y = 6$ gives $(1-4,6 + 2)=(-3,8)$.

Step2: Apply reflection

The reflection rule $r_{y - axis}(x,y)=(-x,y)$. For the point $(-3,8)$ from the previous step, substituting $x=-3$ and $y = 8$ gives $-(-3),8=(3,8)$.

Answer:

D. $(3,8)$