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Zusammenfassung Einzeichnen der Veränderungen des Graphen der Sinusfunktion

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Verschiebungen, Änderungen der Amplitude und Periode einer Sinusfunktion einzeichnen.

Institution
Gymnasium
Course
Mathematik








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Secondary school
Study
Gymnasium
Course
Mathematik
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All documents for this subject (509)

Document information

Uploaded on
February 17, 2021
Number of pages
3
Written in
2020/2021
Type
Summary

Subjects

  • mathematik
  • mathe
  • sinus
  • sinusfunktion
  • veränderungen
  • amplitude
  • periode
  • strecken
  • stauchen
  • verschieben

Content preview

Veränderungen schrittweise einzeichnen:
1. Veränderung der Amplitude
2. Veränderung der Periode
3. Verschiebung in x-Richtung
4. Verschiebung in y-Richtung
Beispiel:
π
f (x) = 1,5 sin (2x- 2 )  Aus Form-/Lageveränderung resultierend

f (x) = a · sin (b · x + c) + d
a – Streckung parallel zur y-Achse um den Faktor 1,5
(Amplitude=1,5)
b – Änderung der Periode um den Faktor 2 (halb so lang)
c – Verschiebung in x-Richtung um π/2 (Vorzeichen!) (Nullstellen
auf π/2)
d – Verschiebung in y-Richtung
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