Parabola Equation
Free Parabola Equation calculator with clear step-by-step results.
About Parabola Equation
Key features of a quadratic parabola from its coefficients.
Formula
Formula
Vertex x = −b/2a; y = c − b²/4a; D = b²−4ac
Worked example
With the default values below, Parabola Equation returns Vertex x of 1.000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Coefficient a
- 2
- Coefficient b
- -4
- Coefficient c
- 1
Results
- Vertex x
- 1.000
- Vertex y
- -1.000
- Discriminant
- 8.000
Step by step
- 1Values used
- 2Formula
- 3Vertex x= 1.000
- 4Vertex y= -1.000
- 5Discriminant= 8.000
Assumptions and limits
- The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
Key features of a quadratic parabola from its coefficients.
Why does this matter?
The discriminant tells the number of roots.