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Interactive math tool

Inverse Proportion Graphing Tool

Free interactive y = k/x graphing tool. Change k to explore hyperbola branches and asymptotes for class or self-study.

The graph of y = k/x is a hyperbola. The sign of k picks the quadrants; |k| controls distance from the origin. Dragging k makes asymptotes intuitive.

How it works

  1. Open the inverse-proportion scene.
  2. Flip k from positive to negative to switch quadrants.
  3. Increase |k| and watch the curve move outward.
  4. Emphasize that axes are asymptotes and the graph never hits the origin.

Classroom example

Show k > 0 in quadrants I & III, then switch to k < 0. Ask why the curve never reaches the axes.

FAQ

Inverse proportion or inverse function?

This tool visualizes inverse proportion y = k/x (hyperbola). The wording matches how learners often search.