The document discusses graph translations. It defines a translation as moving each point (x,y) on a graph to a new location (x+h, y+k) using horizontal and vertical magnitudes h and k. Examples show finding the rule for a translation based on a point mapping, translating points between graphs, and rewriting equations in vertex form to identify translations between parabolas. The key aspects are that translations shift graphs in the xy-plane using h and k values and the graph-translation theorem allows identifying translations by replacing x with x-h and y with y-k in equations.