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Asymptotes of Hyperbola Calculator

Online asymptote calculator: pick the focal axis and enter a, b.

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y=±(b/a)x (x-axis foci)
Axis
Semi-axes
Semi-axes

📖 Tutorial | Asymptotes

1. Definition
x-axis foci (x²/a²−y²/b²=1) give y=±(b/a)x; y-axis foci give y=±(a/b)x.
2. Formula & Notation
a,bSemi-axes
3. Properties & Laws
  • x-axis: b/a;
  • y-axis: a/b;
  • Rectangular: y=±x;
  • Approached, never crossed.
4. Steps
  1. Pick an axis, enter a,b;
  2. Click "Asymptotes";
  3. Or click "Load Example".
5. Worked Examples
Example: x-axis 3,4: y=±4/3 x.
6. Common Pitfalls
Reciprocal slopes;
Rectangular y=±x;
No crossing.

❓ FAQ | Asymptotes

x axis?
b/a.
y axis?
a/b.
Rectangular?
y=±x.
Cross?
Never.
Example?
4/3.
Trick?
Set RHS to 0.