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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 Fal05 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 xaxis — 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‘amﬁgzw 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’“ 372
(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 300167) 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
GUMX ﬂag 61.09613} X~aom0 MA‘lBO Sec 2.5 Fall05 ewt +0 (5 {j— +0 ...
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 Spring '08
 Terry

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