Allgemeine Sinus- und Kosinusfunktion - Regeln

[size=200]a: Amplitude[/size][br][br]Der Parameter a beschreibt die Amplitude. Er streckt/staucht den Graph in y-Richtung[br][br][list][*]Der Graph hat die Amplitude a.[/*][*]Falls a<0 wird der Graph über die x-Achse gespiegelt.[/*][/list][br] 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[/img][br][size=200]b: Periode[/size][br]Der Parameter b beschreibt die Periode. Er streckt/staucht den Graphen in x-Richtung[br][br][br][list][*]Der Graph hat die Periode: [math]p=\frac{2\pi}{\left|b\right|}[/math][/*][*]Falls b<0 wird der Graph über die y-Achse gespiegelt.[br][/*][/list][math][/math][size=200][br]c: Verschiebung in x-Richtung[/size][br][br]c verschiebt den Graphen nach links oder rechts:[br][br][list][*]c<0: Verschiebung nach links.[/*][/list][list][*]c>0: Verschiebung nach rechts.[/*][/list][img]data:image/png;base64,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[/img][br][size=200]d: Verschiebung in y-Richtung[/size][br][br]d verschiebt den Graph nach oben oder unten. (Man nennt dies auch Ruhelage)[br][br][list][*]d<0: Verschiebung nach unten.[/*][/list][list][*]d>0: VErschiebung nach 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[/img][br]([url=https://creativecommons.org/licenses/by-sa/4.0/deed.de]Quelle: Serlo.org, Bilder und Texte stehen unter CC-BY-SA 4.0 Lizenz[/url])
Allgemeine Beschreibung
[url=https://de.serlo.org/mathe/funktionen/wichtige-funktionstypen-ihre-eigenschaften/trigonometrische-funktionen/verschieben-strecken-trigonometrischen-funktionen]https://de.serlo.org/mathe/funktionen/wichtige-funktionstypen-ihre-eigenschaften/trigonometrische-funktionen/verschieben-strecken-trigonometrischen-funktionen[/url]

Information: Allgemeine Sinus- und Kosinusfunktion - Regeln