Yuav ua li cas koj hloov tus qauv vertex mus rau factored daim ntawv?
Yuav ua li cas koj hloov tus qauv vertex mus rau factored daim ntawv?

Video: Yuav ua li cas koj hloov tus qauv vertex mus rau factored daim ntawv?

Video: Yuav ua li cas koj hloov tus qauv vertex mus rau factored daim ntawv?
Video: koj xaiv tus zoo li cas 2024, Kaum ib hlis
Anonim

Hloov pauv Ntawm qhov sib txawv Cov ntawv ntawm Quadratic - Expii. Txheem daim ntawv ax^2 + bx + c. Vertex daim ntawv yog a(x-h)^2 + k, uas qhia cov vertex thiab axis ntawm symmetry. Factored daim ntawv yog a(x-r)(x-s), uas nthuav tawm cov hauv paus hniav.

Tom qab ntawd, ib tug kuj yuav nug, dab tsi yog A nyob rau hauv daim ntawv vertex?

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.

Qhov thib ob, qhov vertex ntawm parabola yog dab tsi? Cov Vertex ntawm Parabola . Cov vertex ntawm parabola yog qhov point qhov twg parabola hla nws axis ntawm symmetry. Yog hais tias tus coefficient ntawm x2 lub sij hawm yog qhov zoo, lub vertex yuav yog qhov qis tshaj plaws ntawm daim duab, qhov taw tes hauv qab ntawm "U"-zoo li.

Ib yam li ntawd, nws raug nug, dab tsi yog daim foos factored?

A factored daim ntawv yog ib tug parenthesized algebraic qhia. Hauv cov nyhuv a factored daim ntawv yog ib yam khoom ntawm sums ntawm cov khoom … los yog ib tug sum ntawm cov khoom ntawm cov sums … Tej logic muaj nuj nqi yuav sawv cev los ntawm ib tug factored daim ntawv , thiab ib qho factored daim ntawv yog ib tug sawv cev ntawm ib co logic muaj nuj nqi.

Dab tsi yog qhov axis ntawm symmetry?

Daim duab ntawm ib qho kev ua quadratic yog parabola. Cov axis ntawm symmetry ntawm ib tug parabola yog ib txoj kab ntsug uas faib cov parabola rau hauv ob qhov sib xyaw ua ke. Cov axis ntawm symmetry ib txwm dhau los ntawm vertex ntawm parabola. Lub x-coordinate ntawm lub vertex yog qhov sib npaug ntawm qhov axis ntawm symmetry ntawm parabola.

Pom zoo: