Write a single algebraic notation for an image that has been rotated 180 about the origin
and has undergone the following translation: 3 units down and 5 units left(pleasee help)
(x,y) -> (-x,-y) -> (-x-5,-y-3)
To write a single algebraic notation for an image that has undergone a rotation and translation, we need to combine the equations for rotation and translation.
Rotation: The rotation of a point (x, y) by 180 degrees about the origin can be expressed as (-x, -y).
Translation: A translation of 3 units down and 5 units left can be expressed as (x - 5, y - 3).
By combining both transformations, we get the new coordinates: (-x - 5, -y - 3).
Therefore, the single algebraic notation for the image that has been rotated 180° about the origin and translated 3 units down and 5 units left is: (-x - 5, -y - 3).