ex_sol(7)

# ex_sol(7) - \ramIU‘Se a><\\$ x_axis...

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Unformatted text preview: \ramIU‘Se a><\\$ : x_axis . . . , 1‘ [9A.].KP’IEMeci 's'h'e graph of 13% - l. G : ( O, O) I Example 1: a1: 5C, ——) 0*: g E ' 2 [adj oi Hm chﬁanm Lot‘WwL ‘Hm. Mi w, ‘ Oh +LL+mnvcﬁc axis (Lands) "Mam/ma cm's : )< — CHAS [9.4.2bmseim the am or the hyperhoh given by g— — g = 1. G: ( Q ) O) ' l Example 2: I (\$7.0) _ I: (0,5:7) 5.712": ) EL: 12%), ( V r: (bu!) 7.2; . 3 \DL U .0112 O c (0 5:4) —> O : ‘ Q + 7 ' ) V ’ — + a a Mom ~ 19 + 55:46 «(3, 0) f5 C :2 j" , Case 2. Translates of Hyperbolas In Case 1 ‘ 2 2 , a“ .‘S :. X _Cud\$ The hyperbole. 3L3): — WE = 1 is a translate of the hyperbola ﬁg — ﬁg = 1. The center of the translate is at the point (41:,y) = (h, o Trahverse axis is the horizontal line y = In, parallel to the as—axis. o The foci are F1 = (h — c,k) and F2 = (h + c, o The vertices are V1 = (h —— (1,0) and V2 =" (h + (1,0). 0 The two OBLIQUE asymptotes are 3; — k = 3:72-(2: — h). o c2 = b2 + a2. Example 3: WVMchx"; // ﬁ’a’ds' [9.4.3aPT}Select m m of the hyperbola given by ‘54:”: * “\$391 = LC («z—41:4) 0‘2: L) G : (g, c (sup-4) : i:::::; ea = 2 Mm (Q a) — u) WX—qu/S 4 . - T hawk Jermme (1533 ll X —oo< is “trounva 0mg Xxxxi; Example 4: 4‘ v ,y' [9.4.3bPiflielectt?efodofthahyperbolagimby1¥l—llﬁil=l. Cutler (I: 6.3;?) a c ~—ia4 Z A > t} r. 0 —~ 25) =59 r -- (—5+ La -0—~ ’ r: (—3.4:5) L 00 _C ., 'V,(‘_3ia.4) C2; 2 1' , ) _——)C = 8 :(431'Qﬂ-0 Example 5: [9.4.1bP’IﬂSa-lect the equation of the following graph k k Qn'hu" G = < O , Q) 'lj‘wm/QFSC axis : é —- a, 2 2 a a: lg 13 :7 V Example 6: [9.4.2:PTISeleét tho equation of the hyperth with center at. (0,0), focus at. (0, 7), and vertex at. (0,6). 5 2% ~ \$7 = 1 k \< FL Q §”¥al=1 G: K: g '— 5 an 1 c 5 1 49 v . L) Clmn a m 1' ‘ [9.4.2(2P’F15ﬂmt the wmpmms or the hypexhoh given by g — I} m 1. _. C yzilx L _ I3 5 mg i _ _>g_ V}: I- ymi‘a: — ' —-~;—' —- I: y=i§m g x \ X Example 8: “Ht/“Vase? “Wig #~0J(l.\$ [9.4.3aPT] Select the vertices of the hyperbola given by 9:254): -— 9%,}: = Lu (—3,4iB) 011: 21/5 2 ‘OL: 33 c (—3:t8,4) __ _ _ HMO at.» G.( 3%) C (-3i5r4) :2. (e3, Lt :5) T k (cause, “\Tanvu‘s: was - auds ...
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ex_sol(7) - \ramIU‘Se a><\\$ x_axis...

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