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Section%202.5

# Section%202.5 - HW ‘3 feino‘b MA 180 — Precalculus'5...

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Unformatted text preview: / HW ‘3 feino‘b' MA 180 — Precalculus '5 9899 O? Professor Terry Section 2.5: Graphs of Functions Sketch the graph of the function. f (x) = l xl El Vertical Shifts of the Gragh of ﬁx} (3* Void was We Sketch the graphs of the three functions on the same rectangular coorginate system. y1=IX|—3 y2=lx|+l Mi 9m: \ ti Observations. 3* Rogue Tm‘ogiwmaytm at We. aim 3 mugs VWTLCJ Tmﬂsimhm 31 move MEL l (mil Verticai Shift of f(x) c units upward: Vertical Shift of f(x) c units downward: MA180 Sec 2.5 Fal|05 ewt Horizontal Shifts of the Gragh of ﬁx) Sketch the graphs of the three functions on the same rectangular coordinate system. y1=|x+3| yz =|x—1| MA 903: lxl Observations: Kegla Wms cm Fm Qua} j. hum/e. leg} Brides h(X) = _§2[_>(-_C)_ W) = M MA180 Sec 2.5 Faiios ewt l Horizontal Shift of t(x) 6 units to the right: Horizontal Shift of f(x) c units to the left: Sketch the graphs of the three functions by hand on the same rectangular coordinate system. Verify your result with a graphing utitity. f(x)=x2 an=ﬁ—4 h(x)=(x+2)2 +1 Observations: 7‘? Writ}; Wﬂmmaﬁmm: MA180 Sec 2.5 Fali05 ewt El Vertical Stretchin or Com ressin of the Gra h of f x a um; i ’— V‘ Sketch the graphs of the three notions on the same1 rectangular coordinate system. 4 (31 2 l X \ Nom~ V‘Laié +V‘a/W/‘ip‘prM43le ‘H Observations: ___ Fm gm): 92L Gown/(3PM CW 8 ”Wk 32, Shela/(A (\$11le Jo get to Vertical Stretch of f(x): ital;l get 40:3,, c>1 Vertiéal Shrink of f(xj: 0 < c < 1 (a fraction) I Reﬂeoting of the Gragh of ﬁx) About the x-axis -— wt Qn as. Sketch the gram the two‘énctions on the same rectangular coordinate system. ‘ WC ‘6 Observations: {L at rF/VQAM, j! ‘2 IX] E Reﬂectin of the Gra h off it About the -axis X -— VM 6.. Sketch the graphs of the two functions on the same rectang r coordinate system. ’ - _ . “LI Observations: R V13 oc§ Jrv‘amﬁg-zw maﬂmw PTﬂr‘Q/M Que} (VJIQﬂcﬂ' a/QOQJA} (h‘i (j’WUCMJ‘ “4’0 £3th +0 32F? Reﬂection of f(x) in the y—axis: h(x) = #:36— MA1BO Sec 2.5 Fall05 ewt TKWV. Q6 (Lin AWM‘ ‘ \ Horizontal Stretching or Compressing of the Graph of ﬁx) ‘3’“ 37-2 (ﬁx (1 (3(— ' Sketch the graphs of e three functions on the same rectangular coordinate system. y] =|xl . y: =I2x] _____> Confrecsa \/ l Canopy; ya 7"}31'mk" S4we2‘rc/pn (j, Horizontal Stretch of f(x): 0 < c < 1 (a fraction) Horizontal Compression of f(x): Sketch the graphs of the three functions by hand on the same rectangular coordinate system. Verify your result with a graphing utility. P 30016-7) a l 1 f (x) = (x- 2)2 a g(x)=(x—2)2+2 : X h(x) = —(x -— 2)2 + 4 6) FPW 2 X mambo/vac Mauls +0 get to 306) a move “‘2??wa m 5 GUM-X ﬂag 61.09613} X~aom0 MA‘lBO Sec 2.5 Fall05 ewt +0 (5 {j— +0 ...
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