Feedback: verschillende opties

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Alexander Holvoet 9 months, 3 weeks ago

Published this.

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Alexander Holvoet 9 months, 3 weeks ago

Created this as a copy of VOORBEELDOPLOSSING: Vind constante c voor kwadratische functie (gegeven a en b).

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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Question statement

De functie $f: y=\simplify{{a}*x^2+{b}*x+c}$ heeft $\var{yv}$ als extreme waarde.

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			Name	Type	Generated Value

xv	integer	1
yv	number	3
a	integer	4
b	integer	-8
c	number	7

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

x-coordinate of the vertex

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `integer`

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
  1. Alt Unnamed alternative
  Add
1. Step Information only

Gap-fill

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Vind $c$ .

$c=$ Unnamed gap

Advice

Een kwadratische functie $f:y=ax^2+bx+c$ heeft een parabolische grafiek en bereikt diens extreme waarde in de top/dal.

De $x$ -coördinaat vind je bij $x=-\frac{b}{2a}=-\frac{\var{b}}{2\cdot \left(\var{a}\right)}=\var{xv}$ .

De extreme waarde zelf is dan $f(\var{xv})=\var{yv-c}+c$ . Aangezien dat gelijk moet zijn aan $\var{yv}$ , vinden we de vergelijking $\var{yv-c}+c=\var{yv}$ , of dus $c=\var{c}$ .

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Part	Test	Passed?
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Number entry
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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Alexander Holvoet 9 months, 3 weeks ago

Alexander Holvoet 9 months, 3 weeks ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Feedback: verschillende opties

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Alexander Holvoet 9 months, 3 weeks ago

Alexander Holvoet 9 months, 3 weeks ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`