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Parabola

Parabola

Properties2
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aliasesparabola

20 lug 20261 min read

Concept — Parabola.

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Linked atoms

20 linked atoms.

11 Disequazioni

  • Case a negative, Delta negative — always negative
  • Case a negative, Delta positive
  • Case a positive, Delta positive
  • Case Delta negative — parabola always positive
  • Case Delta zero — tangent parabola
  • Compact procedure for second-degree inequalities
  • The sign of the parabola
  • The six cases of the parabola

12 La parabola

  • Definition of a parabola
  • Functions with absolute value
  • Rectangle of maximum area in a semicircle
  • Two forms for finding the equation

14 Equivalenza e teorema di Pitagora

  • Rectangle of maximum area with fixed perimeter

19 Luoghi geometrici nel piano cartesiano

  • A unifying definition of the conics
  • Formulae for focus, vertex and directrix
  • Parabola from focus and directrix
  • Parabola from focus and directrix
  • The parabola as a locus

24 Trasformazioni nel piano cartesiano

  • Translated parabola
  • Traslazioni

Graph View

Backlinks

  • The sign of the parabola
  • The six cases of the parabola
  • Case a positive, Delta positive
  • Case a negative, Delta positive
  • Case Delta negative — parabola always positive
  • Case Delta zero — tangent parabola
  • Case a negative, Delta negative — always negative
  • Compact procedure for second-degree inequalities
  • Definition of a parabola
  • Two forms for finding the equation
  • Functions with absolute value
  • Rectangle of maximum area in a semicircle
  • Rectangle of maximum area with fixed perimeter
  • The parabola as a locus
  • Parabola from focus and directrix
  • Formulae for focus, vertex and directrix
  • A unifying definition of the conics
  • Parabola from focus and directrix
  • Traslazioni
  • Translated parabola