Question

Triangle QRS is reflected across the x-axis. Then it is reflected across the y-axis. Finally, it is
translated according to the rule (x + 7, y + 3). What are the final coordinates of point R'?

Answer 1

Answer: (4,-4)

Step-by-step explanation:

Reflection across the x axis means $(x,y) \longrightarrow (x,-y)$, so $(3,7) \longrightarrow (3,-7)$.

Reflection across the y axis means $(x,y) \longrightarrow (-x,y)$, so $(3,-7) \longrightarrow (-3,-7)$.

Then, $(-3,-7) \longrightarrow R'\boxed{(4,-4)}$