Quadratic Interpolation
Use three points with distinct x values to evaluate a quadratic interpolant.
Your numbers
Interpolated y
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Use y = Σ yᵢ ∏ⱼ≠ᵢ (x−xⱼ)/(xᵢ−xⱼ) over the three entered points (xᵢ,yᵢ). x is the target coordinate. The input horizontal coordinates must be distinct; outside them, the polynomial is an extrapolation.
Use three points with distinct x values to evaluate a quadratic interpolant.
Worked example
- Point 1: x
- 0
- Point 1: y
- 0
- Point 2: x
- 1
- Point 2: y
- 1
- Point 3: x
- 2
- Point 3: y
- 4
- Target x
- 1.5
- Interpolated y
- 2.25
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 764e5e975c03 · Example checked: