Horizontal translation
H(x,y)=(x+h,y)
Vertical translation
V(x,y)=(x,y+v)
Diagonal translation
D(x,y)=(x+h,y+v)
X-axis reflection
M(x,y)=(x,-y)
Y-axis reflection
N(x,y)=(-x,y)
y=x reflection
O(x,y)=(y,x)
180 degree rotation
R(x,y)=(-x,-y)
90 degree rotation
R(x,y)=(-y,x)
Negative 90 degree rotation
R(x,y)=(y,-x)