Qhov siab tshaj plaws lossis qhov tsawg kawg nkaus ntawm parabola yog dab tsi?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

Ntsug parabolas muab ib qho tseem ceeb ntawm cov ntaub ntawv: Thaum lub parabola opens, lub vertex yog thelowest taw tes ntawm daim duab - hu ua yam tsawg kawg nkaus , los yog min. Thaum lub parabola opens down, lub vertex yog qhov siab tshaj plaws taw tes ntawm daim duab - hu ua siab kawg , los yog max.

Tib neeg kuj nug, ua li cas koj paub tias nws qhov siab tshaj plaws lossis qhov tsawg kawg nkaus?

Daim ntawv dav dav ntawm qhov sib npaug ntawm parabola yog: Saib cov coefficient ntawm lub sij hawm, uas yog a, thiab Yog a > 0 (zoo), ces tus parabola qhib upward thiab daim duab muaj a yam tsawg kawg nkaus ntawm nws vertex. Yog a <0 (tsis zoo), ces lub parabola qhib downward thiab daim duab muaj a siab kawg ua vertex.

Ib tug kuj yuav nug, dab tsi yog qhov ntau ntawm parabola? Cov txiaj ntsig ntawm a, b, thiab c txiav txim siab cov duab thiab qhov chaw ntawm qhov parabola . Lub npe ntawm ib txoj haujlwm yog theset ntawm tag nrho cov txiaj ntsig tiag tiag ntawm x uas yuav muab cov txiaj ntsig tiag tiag rau y. Cov ntau ntawm ib txoj haujlwm yog cov txheej txheem ntawm tag nrho cov txiaj ntsig tiag tiag ntawm y uas koj tuaj yeem tau txais los ntawm kev ntsaws cov lej tiag rau x. Lub quadratic parentfunction yog y = x².

Kuj kom paub yog, dab tsi yog qhov ua haujlwm yam tsawg kawg nkaus lossis tus nqi siab tshaj?

Cov yam tsawg kawg los yog siab tshaj ntawm a muaj nuj nqi tshwm sim thaum qhov nqes hav yog xoom. Yog li ntawd, nrhiav qhov twg yam tsawg kawg los yog siab tshaj tshwm sim, teem lub derivative sib npaug tozero.

Dab tsi yog qhov hloov pauv ntawm parabola hu ua?

Nyob rau hauv ob qho tib si, lub vertex yog a tig point ntawm graph. Daim duab kuj yog symmetric nrog ib txoj kab ntsug kos los ntawm vertex, hu ua lub axis ntawm symmetry. Lub y-intercept yog tus taw tes ntawm qhov twg parabola hla y axis. X-intercepts yog cov cov ntsiab lus ntawm qhov twg parabola hla lub x-axis.