Yuav ua li cas koj sau lub vertex thiab axis ntawm symmetry?
Yuav ua li cas koj sau lub vertex thiab axis ntawm symmetry?
Anonim

Cov axis ntawm symmetry ib txwm dhau los ntawm vertex ntawm parabola. X-coordinate of the vertex yog qhov sib npaug ntawm cov axis ntawm symmetry ntawm parabola. Rau ib qho kev ua quadratic hauv cov qauv, y = ax2 + bx + c, axis ntawm symmetry yog kab ntsug x = −b2a.

Raws li txoj cai, koj yuav pom qhov vertex thiab axis ntawm symmetry li cas?

Cov Vertex Daim ntawv ntawm kev ua haujlwm plaub yog muab los ntawm: f(x) = a(x−h)2+k, qhov twg (h, k) yog Vertex ntawm parabola. x = h yog axis ntawm symmetry . Siv ua tiav txoj kev square los hloov f(x) rau hauv Vertex Daim ntawv.

Ib sab saum toj, dab tsi yog A 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.

Thiab cov lus nug yog, dab tsi yog vertex thiab axis ntawm symmetry?

Daim duab ntawm ib qho kev ua quadratic yog parabola. Cov axis ntawm symmetry ntawm parabola yog ib txoj kab ntsug uas faib cov parabola rau hauv ob qho tib si sib xyaw. Cov axis ntawm symmetry ib txwm dhau los ntawm vertex ntawm parabola. X-coordinate of the vertex yog qhov sib npaug ntawm cov axis ntawm symmetry ntawm parabola.

Dab tsi yog qhov vertex ntawm daim duab?

Cov vertex ntawm parabola yog qhov point uas 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 ntawm qhov daim duab , qhov taw tes hauv qab ntawm "U"-zoo li. Hauv qhov sib npaug no, lub vertex ntawm parabola yog qhov point (h, k).

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