To determine another way to write the translation rule [tex]\( T_{-8,4}(x, y) \)[/tex], we need to understand what [tex]\( T_{-8,4}(x, y) \)[/tex] means.
The translation rule [tex]\( T_{-8,4}(x, y) \)[/tex] indicates that we are moving each point [tex]\((x, y)\)[/tex] to a new position by following these steps:
1. Subtract 8 from the x-coordinate: [tex]\( x - 8 \)[/tex]
2. Add 4 to the y-coordinate: [tex]\( y + 4 \)[/tex]
So, the translation will transform a point [tex]\((x, y)\)[/tex] to [tex]\((x - 8, y + 4)\)[/tex].
Therefore, another way to write this translation rule is:
[tex]\[
(x, y) \rightarrow (x - 8, y + 4)
\][/tex]
Among the given options, the correct one is:
[tex]\[
(x, y) \rightarrow (x-8, y+4)
\][/tex]
