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Quadratic function

In mathematics, a quadratic function of a single variable is a function of the form f ( x ) = a x 2 + b x + c {\displaystyle f(x)=ax^{2}+bx+c} with ⁠ a ≠ 0 {\displaystyle a\neq 0} ⁠, where ⁠ x {\displaystyle x} ⁠ is its variable, and ⁠ a {\displaystyle a} ⁠, ⁠ b {\displaystyle b} ⁠, and ⁠ c {\displaystyle c} ⁠ are coefficients. The expression ⁠ a x 2 + b…

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Overview

Etymology

Terminology

Forms of a univariate quadratic function

Roots of the univariate function

The square root of a univariate quadratic function

Iteration

Bivariate (two variable) quadratic function

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Map overview Semantic statistics

Quadratic function

Nodes75
Edges74
Triples17
Avg. degree1.97
Density0.026667
Components1

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Quadratic function

Top relations

related to Graph of the univariate function · 3
Quadratic function → Equivalently, If, Regardless
related to Vertex · 3
Quadratic function → If, The, Using
is a · 2
Quadratic function → parabola, second-degree polynomial of the form f
related to Bivariate (two variable) quadratic function · 2
Quadratic function → Setting, Such
related to The square root of a univariate quadratic function · 2
Quadratic function → If, The
related to Coefficients · 1
Quadratic function → The
related to Exact roots · 1
Quadratic function → The

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Important terminology

quadratic function displaystyle form polynomial parabola one graph ax bx equation coefficients roots maximum minimum vertex two variables zero degree

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quadratic functionis aparabola0.90text
Quadratic functionis asecond-degree polynomial of the form f0.90text
xinstance ofor multiple variables0.80text
yinstance ofor multiple variables0.80text
and zinstance ofor multiple variables0.80text
Quadratic functionrelated to Bivariate (two variable) quadratic functionSuch0.60section
Quadratic functionrelated to Bivariate (two variable) quadratic functionSetting0.60section
Quadratic functionrelated to CoefficientsThe0.60section
Quadratic functionrelated to Exact rootsThe0.60section
Quadratic functionrelated to Graph of the univariate functionRegardless0.60section
Quadratic functionrelated to Graph of the univariate functionEquivalently0.60section
Quadratic functionrelated to Graph of the univariate functionIf0.60section

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    Min side: 3
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