BASIS: Vind constante c voor kwadratische functie (gegeven a en b)

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Alexander Holvoet 9 months, 3 weeks ago

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Alexander Holvoet 9 months, 3 weeks ago

Created this as a copy of 0 - Find c for quadratic function with given extremal value (a and b given) - original.

Name	Status	Author	Last Modified
BASIS: Vind constante c voor kwadratische functie (gegeven a en b)	draft	Alexander Holvoet	02/06/2024 14:35
VOORBEELDOPLOSSING: Vind constante c voor kwadratische functie (gegeven a en b)	draft	Alexander Holvoet	02/06/2024 14:37
Feedback: verschillende opties	draft	Alexander Holvoet	02/06/2024 14:33

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The function $f: y=2x^2+2x+c$ has $0$ as an extreme value.

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A quadratic function $f:y=ax^2+bx+c$ has a parabolic graph and reaches it extremal value at the vertex.

The $x$ -value of the vertex is found as $x=-\frac{b}{2a}=-\frac{2}{4}=-\frac{1}{2}$ .

The extremal value itself is given by $f(-\frac{1}{2})=-\frac{1}{2}+c$ . Since this must be equal to $0$ , we find $-\frac{1}{2}+c=0$ , hence $c=\frac{1}{2}$ .

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BASIS: Vind constante c voor kwadratische functie (gegeven a en b)

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Alexander Holvoet 9 months, 3 weeks ago

Alexander Holvoet 9 months, 3 weeks ago

Error in variable testing condition

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