We must write the function that represents the translation of the point (x, y):
• 3 units to the right,
,
• 2 units down.
1) A translation 3 units to the right is equivalent to sum 3 to the coordinate x:
[tex]x\rightarrow x+3.[/tex]
2) A translation 2 units down is equivalent to subtracting 2 to the coordinate y:
[tex]y\rightarrow y-2.[/tex]
The function that represents the translation is:
[tex]T(x,y)=(x+3,y-2).[/tex]
Answer
[tex]T(x,y)=(x+3,y-2)[/tex]
