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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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(1)
door top-coördinaat te berekenen

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About Fill in the Blanks
mathematics
4º Jaar
omzetten
standaard vorm
kwadratische functies
 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

door top-coördinaat te berekenen

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 + 4x + 5 . ? = en ? = f ( ? ) = - ( ? ) ² + 4· ( ? ) + 5 = . De functie kun je dus ook schrijven als f ( x ) = ? 1 ( x - ) ² + .

 
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