Select the correct rule for this translation.

Question

(1 point)
Responses

(x,y)→(x+5, y+1)
(x,y)→(x+5, y+1)

(x,y)→(x-5, y+1)
(x,y)→(x-5, y+1)

(x,y)→(x+1, y+5)
(x,y)→(x+1, y+5)

(x,y)→(x-1, y-5)

Answer 1

To select the correct rule for a translation, we need to understand how translations work in the coordinate plane. The translation rule generally takes a point \((x, y)\) and moves it based on specified changes in the \(x\) and \(y\) coordinates.

The provided options are:

1. \((x,y)→(x+5, y+1)\) - This translates the point 5 units to the right and 1 unit up.
2. \((x,y)→(x-5, y+1)\) - This translates the point 5 units to the left and 1 unit up.
3. \((x,y)→(x+1, y+5)\) - This translates the point 1 unit to the right and 5 units up.
4. \((x,y)→(x-1, y-5)\) - This translates the point 1 unit to the left and 5 units down.

Without specific context or constraints indicating which translation to choose, it's impossible to definitively select the correct rule. You may need to refer to additional information, such as a diagram or specific transformation description.

If you have that information, please provide it, and I would be happy to help you determine the correct translation rule!