Parameter c: Unterschied zwischen den Versionen

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{{#imagelink: Smileyman8.png | Variationen/Quadratische Funktionen1/Parameter c2 }}
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__NOCACHE__

Aktuelle Version vom 20. Februar 2019, 19:00 Uhr

Beginn -   Fußball-WM - Die Halbzeitpause - Rückblick - Video - Der Parameter a - Aufgaben zu a - Der Parameter c - Aufgaben zu c - Kleine Entspannung - Die Normalform - Die Scheitelpunktsform - Übungen zur Scheitelspunktform - weitere Übungen - zur Normalform - zurück zur Anfangsparabel



Der Parameter c

Nicht nur a ändert etwas an der Parabelform, es gibt außerdem noch den Parameter c. Die Funktion lautet dann f(x)= ax2 + c
Probiere in der nächsten Aufgabe selbst aus, was sich durch c ändert.


Aufgabe 10


Durch c ändert sich der Schnittpunkt der Parabel mit der y-Achse.
Ist c gleich Null, so schneidet der Graph die Achse bei (0/0).
Ist c größer als Null, so liegt der Schnittpunkt über der x-Achse.
Ist c kleiner als Null, so liegt der Schnittpunkt unter der x-Achse.
Der y-Wert des Schnittpunkts des Graphen mit der y-Achse ist immer genauso groß wie c!




Maehnrot.jpg
Merke:

Eine Parabel mit der Funktion f(x) = ax2 + c hat ihren Scheitel immer auf der y-Achse!!


Nachdem du jetzt a und c kennengelernt hast, kannst du vielleicht in den nächsten Aufgaben meinen Freunden helfen.

Aufgabe 11


Parabeln kommen nämlich nicht nur in der Mathematik vor, sondern begegnen dir auch im täglichen Leben, beispielsweise als Brücken oder beim Seilspringen. Die drei Mädchen auf dem Bild rechts würden gerne Seilspringen.
Hilf ihnen durch Verschieben von a und c, indem du den beiden äußeren das Seil in die Hände drückst und das Mädel in der Mitte drüberspringen lässt.




Symbollaufzettel.bmp

Smileyman8.png

Von „http://dmuw.zum.de/index.php?title=Variationen/Quadratische_Funktionen1/Parameter_c&oldid=32145“

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