We are asked to describe the following translations.
5 units to the right, 3 units down 10
Let (x, y) is a point on a coordinate plane.
Translation to the right:
5 units to the right, is a horizontal positive (right) translation.
5 units to the right means that add 5 to the x-coordinate.
[tex](x,y)\rightarrow(x+5,y)[/tex]
Translation down:
3 units down, is a vertical negative (down) translation
3 units down means that subtract 3 from the y-coordinate.
[tex](x,y)\rightarrow(x,y-3)[/tex]
Therefore, the end result after both these translations is
[tex](x,y)\rightarrow(x+5,y-3)[/tex]
Bonus:
To the right = add to x-coordinate
To the left = subtract from the x-coordinate
Move Up = add to y-coordinate
Move down = subtract from the y-coordinate
