Answer:
[tex]y=|x-7|-9[/tex].
Step-by-step explanation:
The given function is [tex]y=|x|[/tex].
When this function is translated to the right 7 units and down 9 units, then the equation becomes
[tex]y=|x-7|-9[/tex].
Always remember that; [tex]y=|x-c|-k[/tex] is a transformation that translates the graph of [tex]y=|x|[/tex] c units to the right and k units down.
The correct choice is the first option.