Functions and Transformations
Write functions for each of the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
-translation of a units to the right and b units up
-reflection across the y-axis
-reflection across the x-axis
-rotation of 90 degrees counterclockwise about the origin, point O
-rotation of 180 degrees counterclockwise about the origin, point O
-rotation of 270 degrees counterclockwise about the origin, point O