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Omzetten ax²+bx+c naar a(x-α)²+β

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Omzetten ax²+bx+c naar a(x-α)²+β

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About Fill in the Blanks
mathematics
4º Jaar
omzetten
kwadratische functies
stadaard vorm
 Recommended age: 15 years old
3 times made

Created by

Manfred Molin
Manfred Molin
Belgium

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Omzetten ax²+bx+c naar a(x-α)²+βOnline version

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by Manfred Molin
1

Je kunt een functie in de vorm van f ( x ) = ax² + bx + c omzetten naar de vorm f ( x ) = a· ( x - ? ) ² + ? door eerst ? te berekenen met ? = - b / ( 2a ) . Dan is ? de functiewaarde van ? , dus ? = f ( ? ) . De a - coëfficiënt kun je direct aflezen .
Voorbeeld : f ( x ) = x² + 2x - 3 . ? = ? 1 en ? = f ( ? ) = ( ? ) ² + 2· ( ? ) - 3 = ? 4 . De functie kun je dus ook schrijven als f ( x ) = ( x ? 1 ) ² ? 4 .

 
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