Quadratic function

Defines a quadratic function of one real variable, whose graph is a parabola when a is nonzero. It is used to model curved relationships and to find roots, extrema and intercepts.

y = a x^2 + b x + c

What the symbols mean

independent real variable
dependent variable, the value of the function at x
quadratic coefficient, nonzero for a true quadratic
linear coefficient
constant term, the y-intercept

About this formula

  • FieldMathematics
  • TopicPolynomial functions
  • LevelHigh school
  • Also calledsingle-variable quadratic function, quadratic polynomial, standard form of a quadratic, parabola equation, quadratic equation standard form
  • SourceWikidata Q60963388

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