Stage 22 · Inverse-Proportion Functions

22.3.3 Symmetry About the Center

22.3 Properties of the Inverse-Proportion Function

Point 3 of 6

22.3.3 Symmetry About the Center

Core idea

Spin the graph a half-turn around the origin and the two branches swap places exactly, so the hyperbola has central symmetry about the origin.

Module goal. Read off increase/decrease behavior, symmetry, and the geometric meaning of k straight from the graph, matching each property to its picture.
eastmath.com · 22.3 Properties of the Inverse-Proportion Function · 22.3.3 Symmetry About the Center