Kopie von Zeichnen auf Gummifolie

Stell dir vor, wir zeichnen ein Koordinatensystem auf ein Papier. Auf dem Papier liegt eine durchsichtige Gummifolie, auf die die Parabel gezeichnet wurde. Diese Folie ist mit ihrer Unterkante an der x-Achse festgeklebt. Also ungefähr 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[/img][br]Jetzt stell dir vor, wir legen die Folie flach auf das Papier und gucken alles genau von oben an. Dann sieht es so aus (Die blaue Fabrbe der Folie wurde jetzt weggelassen):
Wie ändert sich das Bild nun, wenn wir die Gummifolie oben anpacken und in die Länge strecken? Das kannst du machen, indem du den Schieberegler nach oben schiebst. [br][br]
Wie verändern sich die y-Werte der Punkte, wenn der Schieberegler bei 2 ist?
Stell dir auch vor, wie es wäre, wenn man die Folie statt sie [br]auseinanderzuziehen auch zusammendrücken (stauchen) könnte. Wenn du den [br]Schieberegler z. B. auf 0,5 stellst, siehst du ein Bild, bei dem die [br]Folie auf halbe Länge gestaucht wäre.
Wenn der Schieberegler auf 0,5 steht werden die y-Werte der Punkte ...
Probiere aus, was passiert, wenn der Schieberegler im negativen Bereich ist!
Wenn der Schieberegler auf -1 geschoben wird... ,
Wenn der Schieberegler auf -1,5 geschoben wird... ,
Das mit der Folie ist einfach nur eine hilfreiche Vorstellung. Aber wenn[br] du an das Arbeitsblatt von vorhin denkst, wird dir vielleicht schon ein[br] Licht aufgehen, wie die Funktionsgleichung einer gestreckten oder [br]gestauchten Parabel aussehen könnte. Im nächsten Abschnitt wird das [br]nochmal genauer erklärt.
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Information: Kopie von Zeichnen auf Gummifolie