parallelogram fghj is the final image after the rule $r_{y-axis} \\circ t_{1,2}(x, y)$ was applied to…

parallelogram fghj is the final image after the rule $r_{y-axis} \\circ t_{1,2}(x, y)$ was applied to parallelogram fghj.\nwhat are the coordinates of vertex f of parallelogram fghj?\n$(-2, 2)$\n$(-2, 6)$\n$(-3, 4)$\n$(-4, 2)$

parallelogram fghj is the final image after the rule $r_{y-axis} \\circ t_{1,2}(x, y)$ was applied to parallelogram fghj.\nwhat are the coordinates of vertex f of parallelogram fghj?\n$(-2, 2)$\n$(-2, 6)$\n$(-3, 4)$\n$(-4, 2)$

Answer

Answer:

A. (-2, 2)

Explanation:

Step1: Identify $F''$ coordinates

From the graph, $F'' = (3, 4)$

Step2: Reverse translation $T_{1,2}$

Translation rule: $(x,y)\to(x+1,y+2)$. Reverse: $(x,y)\to(x-1,y-2)$ $F' = (3-1, 4-2) = (2, 2)$

Step3: Reverse $y$-axis reflection

Reflection rule: $(x,y)\to(-x,y)$. Reverse: $(x,y)\to(-x,y)$ $F = (-2, 2)$