CALCULATOR
Quadratic Vertex X Coordinate from Coefficients Calculator
Quadratic Vertex X Coordinate from Coefficients. Example: A: 1 number, B: -6 number gives 3 number. Dimensionless quadratic ax²+bx+c with a>0; c does not affect vertex x. Returns x coordinate, no full symbolic vertex-form output. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Dimensionless quadratic ax²+bx+c with a>0; c does not affect vertex x. Returns x coordinate, no full symbolic vertex-form output. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Completing square locates quadratic axis of symmetry.
Accepted inputs: A: 0.001 to 10,000 number; B: -10,000 to 10,000 number.
How the calculation works
vertex x=-b/(2a)
Worked example
With a 1 number, b -6 number, quadratic vertex x coordinate from coefficients is 3 number.
Assumptions and limits
Dimensionless quadratic ax²+bx+c with a>0; c does not affect vertex x. Returns x coordinate, no full symbolic vertex-form output. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Completing square locates quadratic axis of symmetry.