Interactive resource
Inverse Proportion Graphing Tool
Functions. Free interactive y = k/x graphing tool. Change k to explore hyperbola branches and asymptotes for class or self-study.
Overview
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.
Explanation
y = k/x (k ≠ 0) is a hyperbola with two branches.
k > 0 in quadrants I & III; k < 0 in II & IV.
x- and y-axes are asymptotes; the graph never hits the origin. Larger |k| sits farther out.
How to use
- Open the inverse-proportion scene.
- Flip k from positive to negative to switch quadrants.
- Increase |k| and watch the curve move outward.
- 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.
Knowledge points
FAQ
Inverse proportion or inverse function?
This tool visualizes inverse proportion y = k/x (hyperbola). The wording matches how learners often search.
Is this tool free?
Yes. It runs in the browser with no install.
Good for class demos?
Yes — project it and ask what changes when you drag a parameter.
How do I write the formula afterward?
Open the equation editor or symbol sheet and copy a clean expression.