What you provide
What you provide
- Quadratic coefficient, using the same scenario as the other inputs
- Linear coefficient, using the same scenario as the other inputs
- Constant term, using the same scenario as the other inputs
MATH / ANALYTIC GEOMETRY
Parabola Vertex Calculator
Locate the vertex of a vertical parabola from standard-form coefficients. Review the equation, substituted values, result context, and modelling limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Locate the vertex of a vertical parabola from standard-form coefficients. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation pathx_v = -b/(2a), y_v = ax_v^2 + bx_v + c Conversion resultx_v = -b/(2a), y_v = ax_v^2 + bx_v + c
What you receive
What you receive
- Vertex x-coordinate from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
A must be nonzero so the graph is a parabola.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors