TRIG GRAPH - Precalculus Name ID 1 Trig Graph Date Period Find the amplitude and the period in radians Then sketch the graph using radians(ONLY ONE

TRIG GRAPH - Precalculus Name ID 1 Trig Graph Date Period...

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Unformatted text preview: Precalculus Name___________________________________ ID: 1 Trig Graph Date________________ Period____ Find the amplitude and the period in radians. Then sketch the graph using radians. (ONLY ONE CYCLE) 1) y = 2sin θ 4 2) y = 2sin θ 2 -1©b m2u0p2J1v LKMuKtuaK dS]otfAtCwMaPrJex NLyLLCL.G D `A`lElx KrriRgBhntxs_ hrpeksGeGrzviejdZ.q f `Mialdret pwUiNt`hx ^Isngfji\ncietNeK IPvrReFcma^lcckuRlRuEsR. Worksheet by Kuta Software LLC 3) y = 2cos 2θ 4) y = 3cos θ Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then sketch the graph using radians.(ONLY ONE CYCLE) 5) y = ( ) 1 θ π ⋅ sin + −2 2 2 2 ( 6) y = 2cos 4θ − ) π +2 2 -2©m V2N0u2v1k PKwuNtmax wSxoUf^tEwwaFrmea ZLpLTCL._ v lAMlelz gryiEgqhCtPsQ MrSezsHezrwvYeDdF.c l eMWaadEew AwKiqtMhn qIDnafXiLn[iPtee] [PVrReLcYahlacSuilOuAs\. Worksheet by Kuta Software LLC ( 7) y = 2cos 2θ − 9) y = ( ) π −2 4 ) 1 θ 5π ⋅ cos + +2 2 4 4 8) y = −2 + 3cos 10) y = ( θ 3π − 2 4 ) 1 ⋅ sin θ − 2 2 -3©B z2z0R2x1p RKBuGtqa^ vSSo\f`tzwGairxeE FLsLNCQ.s l aAqlrll hr^izgKhJtFsY nrce[sOevrvvCeUdE.s k MMiaadteR awViwtrhH SIJnVfDignSixtOe] bPWrLejcAaNlScEuQlRuOsg. Worksheet by Kuta Software LLC Precalculus Name___________________________________ ID: 1 Trig Graph Date________________ Period____ Find the amplitude and the period in radians. Then sketch the graph using radians. (ONLY ONE CYCLE) 1) y = 2sin θ 4 2) y = 2sin Amplitude: 2 Period: 8π 6 4 2 2 4π 6π Amplitude: 2 Period: 4π 6 4 2π θ 2 8π 10π 12π π −2 −2 −4 −4 −6 −6 2π 3π 4π 5π 6π -1©i W2M0m2k1a LKjubtdaN ^STojfPtgwYa^rOek [LkLxCJ.p E cAolhlY MrfisgPhBtlsK hrkeysyekrAvzeSdd.E W wMqa]dFe_ ^wLivtbhJ GIHnQfniingiptxeH BPArWeWclajlNciuKlFuesQ. Worksheet by Kuta Software LLC 3) y = 2cos 2θ 4) y = 3cos θ Amplitude: 2 Period: π 6 4 4 2 2 π 2 −2 π 3π 2 Amplitude: 3 Period: 2π 6 2π π 2π 3π −2 −4 −4 −6 −6 Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then sketch the graph using radians.(ONLY ONE CYCLE) 5) y = ( ) ( 1 θ π ⋅ sin + −2 2 2 2 6) y = 2cos 4θ − Amplitude: 6 1 2 4 2π 3π 4π 5π Phase shift: Right 2 2 π Amplitude: 2 π Period: 2 6 Period: 4π Phase shift: Left π Vert. shift: Down 2 4 ) π +2 2 6π −2 −2 π 8 Vert. shift: Up 2 π 2 π 3π 2 2π −4 −4 −6 −6 -2©r L2_0z2j1Q qKSuUtoax wSJoWfPtcwEaMrZeh DLlLSCm.M J PATl`lz GrNipghhOtjsW krAelsIePrTvze]dx.H o jMFaVd\eg bwuiftVhr oIVn\fMignSiStBea ]PergexcYazldcEuilfursf. Worksheet by Kuta Software LLC ( 7) y = 2cos 2θ − ) π −2 4 8) y = −2 + 3cos 6 Amplitude: 2 Period: π 4 Phase shift: Right π 8 Vert. shift: Down 2 2 π 2 −2 π 3π 2 ) Amplitude: 3 Period: 4π 4 Phase shift: Right 3π 2 Vert. shift: Down 2 2 π 2π 3π 4π 5π 6π −2 −4 −4 −6 −6 ( θ 3π − 2 4 6 2π ) 1 θ 5π ⋅ cos + +2 2 4 4 9) y = ( Amplitude: 6 1 2 Amplitude: 6 Period: 8π Phase shift: Left 5π Vert. shift: Up 2 4 1 ⋅ sin θ − 2 2 10) y = Period: 2π Phase shift: None Vert. shift: Down 2 4 2 1 2 2 2π 4π 6π 8π 10π 12π π −2 −2 −4 −4 −6 −6 2π 3π -3©U H2l0H2L1F GKZuytaaM VSPoFfLtHwka[rpet YLILGCw.m T SAplUlI rroijgLhwtKse XrXe\sEeurwvEeqdn.Z m RM^ahdjei mwHictkhv CInnofNihnni_tTe` GPprseOcsaVlicHuHlbu[s\. Worksheet by Kuta Software LLC ...
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