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? (-5, 8) (-3, -8) (5, -8) (3, 8)

Explanation:

Step1: Apply translation rule

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

Step2: Apply reflection rule

The reflection rule across the $y$-axis is $r_{y - axis}(x,y)=(-x,y)$. Applying this to the point $(-3,8)$ from the previous step, we get $r_{y - axis}(-3,8)=(3,8)$.

Answer:

(3, 8)