Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:axisOfSymmetry |
x = -b/2a
|
| gptkbp:coefficient |
a
b c |
| gptkbp:degree |
2
|
| gptkbp:discriminant |
b^2-4ac
|
| gptkbp:domain |
all real numbers
|
| gptkbp:hasFeature |
f(x) = ax^2 + bx + c
|
| gptkbp:hasSpecialCase |
parabola
|
| https://www.w3.org/2000/01/rdf-schema#label |
Quadratic function
|
| gptkbp:minimumOrMaximum |
vertex
|
| gptkbp:opensDownwardIf |
a < 0
|
| gptkbp:opensUpwardIf |
a > 0
|
| gptkbp:parentFunction |
f(x) = x^2
|
| gptkbp:range |
depends on a
|
| gptkbp:rootsFormula |
(-b ± sqrt(b^2-4ac))/(2a)
|
| gptkbp:shape |
parabola
|
| gptkbp:usedIn |
economics
engineering physics |
| gptkbp:variant |
x
|
| gptkbp:vertexFormula |
(-b/2a, f(-b/2a))
|
| gptkbp:bfsParent |
gptkb:Convex_function
gptkb:Polynomial_functions |
| gptkbp:bfsLayer |
8
|