1. Translation of a units to the right and b units up has rule:
(x,y)→(x+a,y+b).
Then the function is

2. Reflection across the y-axis acts in following way:
(x,y)→(-x,y).
Then the function is

3. Reflection across the x-axis acts in following way:
(x,y)→(x,-y).
Then the function is

4. Rotation of 90 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-y,x).
Then the function is

5. Rotation of 180 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-x,-y).
Then the function is

6. Rotation of 270 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(y,-x).
Then the function is

Convert them to have the same denominator then subtract