Translation involves changing the position of a shape.
The image of point (x,y) after a translation of 3 units right and 7 units down is: [tex]\mathbf{(x - 3,y - 7)}[/tex]
The point is given as: (x,y)
The rule of translation 3 units right is:
[tex]\mathbf{(x,y) \to (x-3,y)}[/tex]
The rule of translating 7 units down is:
[tex]\mathbf{(x,y) \to (x,y - 7)}[/tex]
So, we have:
[tex]\mathbf{(x - 3,y) \to (x - 3,y - 7)}[/tex]
Hence, the image of point (x,y) after a translation of 3 units right and 7 units down is: [tex]\mathbf{(x - 3,y - 7)}[/tex]
Read more about translations at:
https://brainly.com/question/12463306
