大象传媒

Grafan agus d脿imhean triantanachdEadar-ghluasad (a' gluasad l霉b, tric air axis)

Bheir an graf aig fuincsean triantanachd fios mun cho-aontar aige. Th猫id co-aontaran triantanachd fhuasgladh leis na riaghailtean bho CUST. Th猫id abairtean a sh矛mpleachadh le ionannachdan triantanachd

Part of MatamataigSgilean triantanachd

Eadar-ghluasad (a' gluasad l霉b, mar as trice air axis)

Bhon a tha fios agad a-nis c貌 ris a tha na grafan coltach bho th霉s, bheir sinn s霉il air a' choltas a bhiodh air grafan san riochd:

\(y = a\sin bx + c\)

far a bheil:

  • a = meudachd (leth na faid bho na luachan as motha chun nan luachan as lugha)
  • b = 脿ireamh nan tonn eadar 0藲 agus 360藲
  • c = d猫 uiread 's a ghluais an graf suas (c > 0) no s矛os (c < 0)

Eisimpleirean de sgeidseadh ghrafan

1) Sgeids an graf aig \(y = 5\sin 2x^\circ + 4\)

  • meudachadh = 5, mar sin 's e 10 an diofar eadar an luach as motha agus an luach as 矛sle
  • 脿ireamh nan tonn = 2 (Tha peiriad de 360藲 梅 2 = 180藲 aig gach tonn)
  • ghluais e suas 4 (bhon a tha c > 0)
  • a' phuing-tionndaidh as motha nuair a tha \((5\times 1)+4=9\) agus a' phuing-tionndaidh as lugha nuair a tha \((5\times 1)+4=-1\) (Tha seo air sg脿th 's gur e 1 an luach as motha aig co-dhi霉 's e sine no sin2x a th' ann, agus 's e -1 an luach as lugha aig sine.)

Seo mar a tha an graf:

Diagram of a sin calculation graph with equation y = 5 sin 2x掳 + 4

2) A' sgeidseadh a' ghraf aig \(y = 3\cos \frac{1}{2}x^\circ - 1\)

  • meudachd = 3, agus mar sin 's e 6 an diofar eadar an luach as motha agus an luach as 矛sle
  • 脿ireamh nan tonn = 0.5 (Tha peiriad 360藲 梅 0.5 = 720藲 aig gach tonn)
  • ghluais e s矛os 1 (bhon a tha c < 0)
  • a' phuing-tionndaidh as motha nuair a tha \(y=(3\times 1)-1=2\) a' phuing-tionndaidh as lugha nuair a tha \(y=(3\times 1)-1=-4\)
Diagram of a cos calculation graph with equation y = 3 cos 1/2x掳 - 1

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