Cov txheej txheem:
Video: Vertical stretch thiab shrink yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
A ntsug stretching yog cov ncab ntawm daim duab deb ntawm x-axis. A ntsug compression (los yog txo qis ) yog qhov nyem ntawm daim duab mus rau x-axis.
Ib yam li ntawd, koj tuaj yeem nug, kab rov tav stretch thiab shrink yog dab tsi?
A kab rov tav stretch los yog ntsws los ntawm qhov tseem ceeb ntawm 1 / k txhais tau hais tias qhov taw tes (x, y) ntawm daim duab ntawm f (x) hloov mus rau qhov taw tes (x / k, y) ntawm daim duab g(x).
Tsis tas li ntawd, koj yuav ua li cas ntsug stretch thiab compression? Yuav ua li cas: Muab ib tug muaj nuj nqi, graph nws ntsug stretch.
- Txheeb xyuas tus nqi ntawm a.
- Muab tag nrho cov nqi ntau los ntawm a.
- Yog tias a> 1, daim duab yog ncab los ntawm ib qho ntawm a. Yog tias 0<a< 1 0 < a < 1, cov duab yog compressed los ntawm ib qho. Yog tias a <0, daim duab yog stretched los yog compressed thiab kuj xav txog ntawm x -axis.
Qhov thib ob, qhov nqes qis zoo li cas?
Raws li kev txhais ntawm ntsug shrink , graph y1(x) yuav tsum zoo li daim duab f (x), ntsug shrunk los ntawm qhov tseem ceeb ntawm 1/2. Siv peb txoj kev paub txog ntsug stretches, daim duab y2(x) yuav tsum zoo li lub hauv paus graph g(x) ntsug stretched los ntawm ib qho ntawm 6.
Koj sau txoj kab ntsug li cas?
Ntsiab Cai
- Thaum los ntawm f(x) lossis x yog muab faib los ntawm tus lej, cov haujlwm tuaj yeem "stretch" lossis "shrink" vertically lossis horizontally, feem, thaum kos duab.
- Feem ntau, txoj kab ntsug yog muab los ntawm kab zauv y = bf (x) y = b f (x).
- Feem ntau, kab rov tav stretch yog muab los ntawm kab zauv y = f (cx) y = f (c x).
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Key Takeaways Thaum los ntawm f(x) lossis x yog muab los ntawm tus lej, kev ua haujlwm tuaj yeem "txo" lossis "txo" vertically lossis kab rov tav, feem, thaum kos duab. Feem ntau, txoj kab ntsug yog muab los ntawm kab zauv y = bf (x) y = b f (x). Feem ntau, kab rov tav stretch yog muab los ntawm kab zauv y = f (cx) y = f (c x)
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