Video: Dab tsi yog qhov sib npaug ntawm kev ua haujlwm quadratic?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
A quadratic muaj nuj nqi yog ib daim ntawv f(x) = ax2 + bx + c, qhov twg a, b, thiab c yog cov lej uas tsis sib npaug rau xoom. Graph ntawm a quadratic muaj nuj nqi yog ib qho nkhaus hu ua parabola. Parabolas tuaj yeem qhib rau sab saud lossis nqes thiab sib txawv hauv "dav" lossis "seepness", tab sis lawv txhua tus muaj tib yam "U" duab.
Ntawm no, dab tsi yog A hauv vertex daim ntawv?
y = a(x – h)2 + k, qhov twg (h, k) yog qhov vertex . Qhov "a" hauv qhov vertex daim ntawv yog tib "a" as. hauv y = ax2 + bx + c (uas yog, ob qho tib si a's muaj qhov zoo ib yam). Daim paib ntawm "a" qhia koj seb lub quadratic qhib lossis qhib.
Yuav ua li cas koj txiav txim siab qhov sib npaug yog ib txoj haujlwm? Nws yog qhov yooj yim rau txiav txim seb ib kev sib npaug yog ib txoj haujlwm los ntawm kev daws rau y. Thaum koj muab ib qho kev sib npaug thiab tus nqi tshwj xeeb rau x, tsuas yog yuav tsum muaj ib qho sib thooj y-tus nqi rau qhov x-tus nqi. Piv txwv li, y = x + 1 yog a muaj nuj nqi vim y yuav ib txwm yog ib tug loj dua x.
Ua li no, ua li cas koj sau ib qho kev sib npaug rau parabola?
Rau parabolas uas qhib sideways, tus qauv daim ntawv kev sib npaug yog (y - k)^2 = 4p(x - h). Lub vertex los yog lub ntsis ntawm peb parabola yog muab los ntawm lub ntsiab lus (h, k). Rau parabolas uas qhib thiab nqis, lub ntsiab lus tseem ceeb yog muab los ntawm (h, k + p). Rau parabolas uas qhib sideways, qhov tsom xam yog (h + p, k).
Dab tsi yog daim qauv ntawm kev ua haujlwm quadratic?
A quadratic muaj nuj nqi yog a muaj nuj nqi ntawm degree ob. Graph ntawm a quadratic muaj nuj nqi yog a parabola . Tus general daim ntawv ntawm ib tug quadratic muaj nuj nqi yog f (x) = ax2 + bx + c qhov twg a, b, thiab c yog cov lej tiag tiag thiab a≠0. Cov Standard daim ntawv ntawm ib tug quadratic muaj nuj nqi yog f(x)=a(x−h)2+k.
Pom zoo:
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