Answer:
The correct option is C.
Step-by-step explanation:
The rule of transformation is defined as
[tex](x,y)\rightarrow (x+a,y+b)[/tex] ... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units right and if a<0, then the graph shifts a units left.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The given rule of transformation is
[tex](x,y)\rightarrow (x-9,y+2)[/tex] .... (2)
From (1) and (2), we get
[tex]a=-9,b=2[/tex]
The value a=-9<0 represents the translation 9 units to the left and b=2 represents the translation 2 units up.
Therefore the correct option is C.
