a units to the right
(x+a, y)
a units to the left
(x-a, y)
b units up
(x, y+b)
b units down
(x,y-b)
90 degrees rotation
(-y,x)
180 degrees rotation
(-x,-y)
270 degrees rotation
(y,-x)
360 degrees rotation
(x,y)
reflection across x-axis
(x, -y)
reflection across the y-axis
(-x,y)
reflection across the line y=x
(y,x)
reflection across the line y = -x
(-y,-x)