Section 1.7 – Motion in the Coordinate Plane

 

Translations

 

Horizontal translation of h units:             H(x,y) =>  (x + h, y)

Vertical translation of v units:                             V(x,y) => (x, y + v)

 

Reflections Across the x- or y-axis

 

Reflection across the x-axis:                              M(x,y) => (x, -y)

Reflection across the y-axis:                              N(x,y) => (-x, y)

 

180° Rotations About the Origin

 

R(x,y) => (-x,-y)