Quadratic Vertex
Find the vertex, axis and opening direction of a quadratic.
Your numbers
Vertex x
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
xᵥ=−b/(2a); yᵥ=axᵥ²+bxᵥ+c
Find the vertex, axis and opening direction of a quadratic.
Worked example
- a, nonzero
- 1
- b
- -4
- c
- 3
- Vertex x
- 2
- Vertex y
- -1
- Opening
- Upward
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: 21a6f8e97f14 · Example checked: