a. Write functions for 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

Question

a.	Write functions for 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