This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Graded Assignment
Checkup: Hyperbolas Answer the following questions using what you've learned from this unit. Write your
responses in the space provided, and turn the assignment in to your Instructor. Identify the type of conic section (circle, hyperbole, or ellipse). (ac—252 (y+3)2_ _ 1. —4—+ 9 —1 €\\33?§Q
(ac—10? (y+2)2_ 2. —10———+ 10 —1 lfggﬁdﬂ
(y*1)2_(x+1)2_ 3. T "Ts—‘1 519;:ng la 4. (x—1)2+(y—2)2=4 M For each hyperbola, tell whether it is horizontal or vertical. y2 x2 .
5. _—_.—, v
144 25 ‘Q 6. (ii—M4 \ngfrcon g! 36 ’16 Cf: Law:
For each hyperbola, ﬁnd the coordinates of the vertices and foci. L1: "(3“
2 2 QEA¥QI;@IO> (k—EOLIK) LhtCIK)
12.1”: (v;
7‘ 16 25 locH (0 +50) ©iﬂlZO>
Uglicesi L503 @3103 Lo~§_ o) 1!?“ : o. I VUWJS
\ ,tl,o 4914,05 {w ‘ ' .
COC— (JD 3(. C L—Z‘ I) Ebpah—cbr Vm\LCS <1"), lit a)
2
8. M—(x+2)2=1 q:5’ FOL} LMIK‘LCj ,1, H5)
25 b : ‘ W l Q1,\yﬁu)L—Z,l~ﬁw3 («2. lf)
Vﬁﬁ‘jf?‘ (ZAaJéir‘D [—1100 ELAN) ﬁx OMQ K19 lnn All rinhle MANIA” Dana 1 AF 5 E Graded Assignment MTH403A: PreCakzuluslTrigonometry  Unit 5  5.3 Checkup Match the equation with its graph. 9_ 0H)? (x+1)2 :1 30 25 (262)2 ‘(y+3)2_
10‘ 36 16 ‘1 _(x3)2 11.
9 —(y*2)2=1 2 2
inf“:
12' 144 25 1 A. \\ 23456?B (a: OMQ K1 9 Inc All rink}: untamed Dana 9 nf S 7 E Graded Assignment MTH403A: PreCalculuslTrigonornetry i Unit 5 l 53 Checkup Writethe equation ofthe hyperbola. [L30 \/ is {Mac M v4"l i(ES/10:35 ii’j how“ZOH'lw‘S
, 7,, 1+ 2
13. Foci: (3,0), (1,0) 6U:Q,K3 Vii/w: 0%) C  0‘ 5 Venices: (—2,0), (0,0) Li : ( J, 1,1 3:52
[1:0 7+\§L (#7031 v ‘1
C : CMOX L7— “ 3 :\ (mag ’11.: )
L + 0, K3 3
h' ' C:Z Va,LQ 44
44:0:8 @tQ'KB (01—1,:
14. Foci: (9,0), (9,0) ““1““ \ Czq eff; '
Xenicesz: (4,0), (4,0) LM;UE(O,O) q 70 ,7 04+};ch
A—JL—A (x: 2 :mm‘ " ' ' L W
m at ‘ W , , w :Mm W The equation for the asymptote when the transverse axis is horizontal is:
y = idle: —h) + k The equation for the asymptote when the transverse axis is vertical is:
y = i%(x —h)+k Using this information, write the equation of the hyperbola. 15. Vertices: (0,4), (0,1) Lotte/r (0:05 _ 1 1
Asymptotes. y=§x, y=—§x
UU’HLUJ. 16. Vertices: (6,0), (6,0) (””031 05
Asymptotes: yzgx, yz—gx (X : 3
horiwn—iaJ é ; Li 1 1
331:1 3 L1 ((31 9110‘! K1? Inn All rinhk recanted Dana fl M R Graded Assignment MTH403A: PreCalculusrr onometry  7 7 ‘ 5  5.3 Checkup \\ Sketch the graph of the hyperbola. 0102 2:1
18. 25 —(x+2) VUJICOJ
CUM/f (22.5
(is;
b :\ * L—Z Ln) (1 +1) ————————.————r——___——__—_.___
(a OMQ K19 Inn Al! rinhh racnmad Dan: A nfS K E Graded Assignment MTH403A: PreCalculuslTrigonometry I Unit 5  53 Checkup ' z :  5.5.2; (yﬁ2)2_(X+4)2_
20' 16 10 ‘1 (a 7”“: [(1 0 inn All rinhh: 104:an Dana 5 nfﬁ ...
View
Full Document
 Spring '16
 BOB

Click to edit the document details