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THE FEUTEX TOOLKIT

Quadratic Vertex and Axis

Find the turning point and completed-square constant of a quadratic.

Math workspace● Runs in your browser
01 Your input
02 Your result
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FormulaVertex X = -b/(2*a); Vertex Y = c-b**2/(4*a); Curvature = 2*a
Sources and model references

Made for real tasks

  • Find the turning point and completed-square constant of a quadratic.
Explore step-by-step workflows →

Worked example

Inputs

Quadratic coefficient
2 number
Linear coefficient
-8 number
Constant
3 number

Expected results

Vertex X
2 number
Vertex Y
-5 number
Curvature
4 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter quadratic coefficient, linear coefficient, constant.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "a": 2,
  "b": -8,
  "c": 3
}

Accuracy and scope

Positive a gives a minimum, negative a a maximum. This tool does not solve roots.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.