Explains the stretching of the graph of a function
https://knobit.org/id/knobit/K12-5202
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| Context functions | Object understanding |
|---|---|
| Knobit creation methods | AI generated |
| Knobit types | Knowledge |
| LCG purposes | Assessing the learner's knowledge or skill state |
| LCG purposes | Designing a personal learning path |
| action verb | Explains en |
| action verb | Selgitab et |
| assessment criterion | Explains that a·f(x) stretches the graph a times in the direction of the y-axis and f(ax) 1/a times in the direction of the x-axis (for a negative a it is reflected), and shows this with an example en |
| assessment criterion | Selgitab, et a·f(x) venitab graafikut y-telje suunas a korda ja f(ax) x-telje suunas 1/a korda (negatiivse a korral peegeldub), ning näitab seda näitega et |
| assessment method | Multiple-choice question en |
| assessment method | Valikvastustega küsimus et |
| dcterms:identifier | K12-5202 |
| dcterms:license | https://creativecommons.org/licenses/by/4.0/ |
| dcterms:source | GRÕK lisa 5, lai matemaatika, VII kursus „Funktsioonid. Arvjadad“, õpitulemus 4 et |
| dcterms:source | National Curriculum for Upper Secondary Schools, Annex 5, extended mathematics, course VII “Functions. Sequences”, learning outcome 4 en |
| depends on knobit | Selgitab funktsiooni mõistet ja üldtähist |
| depends on knobit | Explains the concept of a function and its general notation |
| expected result | An explanation of the stretching of the graph of a function (y = a·f(x) and y = f(ax)), with an example en |
| expected result | Funktsiooni graafiku venitus (y = a·f(x) ja y = f(ax)) selgitus koos näitega et |
| rdfs:label | Explains the stretching of the graph of a function en |
| rdfs:label | Selgitab funktsiooni graafiku venitust et |
| schema:creativeWorkStatus | accepted |
| schema:isPartOf | Matemaatika riiklikes õppekavades (põhikool ja gümnaasium) |
| schema:isPartOf | Extended mathematics, courses I–VII |
| skos:definition | Explains how multiplying the function or the argument by a number changes the shape of the graph. en |
| skos:definition | Selgitab, kuidas funktsiooni või argumendi korrutamine arvuga muudab graafiku kuju. et |
| skos:prefLabel | Explains the stretching of the graph of a function en |
| skos:prefLabel | Selgitab funktsiooni graafiku venitust et |
| target object | funktsiooni graafiku venitus (y = a·f(x) ja y = f(ax)) et |
| target object | the stretching of the graph of a function (y = a·f(x) and y = f(ax)) en |
Used by
| applies knowledge | Describes the relation of the graph of a function to the graph of a transformed function |
|---|---|
| applies knowledge | Visualises transformations of a graph on a computer with particular examples |
| includes knobit | Transformations of a graph |