Funktionen Strecken Stauchen Verschieben Spiegeln by Lernen amp Wissen

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Funktionen Strecken Stauchen Verschieben Spiegeln • Hallo du da draussen, in diesem Tutorial geht es um Funktionen und wie du sie in verschiedene Richtungen Verschieben, Strecken und Stauchen, und Spiegeln kannst. • Ich stell dir erst alle Möglichkeiten mit Beispielen vor und rechne dann im 2. Teil des Tutorials einige Aufgaben durch dazu durch. • 1. Verschieben einer Funktion in Y-Richtung • Das einfachste zum Thema ist die Verschiebung in die Y-Richtung, also nach oben oder unten. • Wir haben hier eine Funktion f(x), rechts die Funktionsgleichung. • Nun soll diese Funkion um 2 nach oben verschoben werden, also in die Plusrichtung. • Hier das neue Schaubild. Für die Funktionsgleichung selbst bedeutet das, dass hinten einfach plus 2 hingeschrieben. • Wieder die Funktion, sie soll jetzt um eins nach unten, also in die negative Minusrichtung verschoben wird. Das mach ich in dem hinten ein minus eins hinschreibe. • Dazu drei Beispiele • Hier eine ganzrationale Funktion 7. Grades, um 100 nach oben verschoben werden, wir hängen hinten also einfach nur plus 100 ran. • Eine trigonometrische Funktion soll um 0,5 nach unten verschoben werden, hinten minus 0,5 • das Ganze kann noch vereinfacht werden. • Eine Exponentialfunktion, die um e nach oben verschoben werden soll, zur Erinnerung, e ist die eulersche Zahl und hat etwa den Wert 2,718, hinten plus e, 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