,y. ~ (Lo )-Y2 ') '---~ F( '...J ( '1, 4. \fer-\{:k. ('X -5)'1.-+ :tl\ ~\:,) ~::; fi(~ S:;')'"'--t L. X-lOX t ~5 = IJ~-~+~5.

Transcription

1 Name. Date 18. Write the equation of this conic: No,y. ~ '---~ F( '...J ( '1, 4 2A. Write the equation of this conic: \fer-\{:k. (lo) -3~2 ') (Lo )-Y2 ') 28. Write the equation of this conic: :: -. JA. Complete the square and put in standard form 3x 2 8y 2-24x-32y-8 =0 38. Complete the square and put in standard form. 3x 2 - / + 6x + 4y + 2 = 0 '2. X-lOX t ~5 = IJ~-~+~5 ( 'X -SJ~ = I J \-~L\ ~~rcl~'~~ ('X -5)'1.-+ :tl\ ~\:,) ~::; fi(~ S:;')'"'--t L 48. Complete the square and put in standard form. x 2-2y-4x-6 = 0

2 I rlg'motn 1\001 NOme:..- ~uo r ter 2 Date No SA. From the definition, write the equation of a SB. From the definition, write'the equation ofa parabolawith focus (-3,4) and direc. x =1 parabola with focus (2, -5) and directrix x =1 (-.3,4) J:X+3~:I..-Klj-Y)~-= JtX-f)"1.~lj-Y)~ L- (J\IjJ X+3) +'y- L.\,)'2-= (X-j)" ~+(o)(+cl +(lj Y)"L ~"x:-dx.t ( -Lj 1- = -'DX - Y?J ( -tt)~- \ ::; X I '. (l)lj) 6A. From the definition, write the equation of a 6B. From the definition, write the equation ofa hyperbo Ia with foci (±5. 0) and difference of the focal hyperbola with foci (O,±4) and difference ofthe focal radii = 8. (;<'ILj radii = 6. 7A. Froin't -e dem itlon, write-me equation onm ellipse with foci (0, ±3) and sum of the focal radii = 20. ~3 J"")L"4{-3):I ~ 0y~ (l.( ~3):L : z,d "X~ r 7B. From the definition. write the equation of an ellipse with foci (±4.0) and sum of the focal radii> 10. 1j'~1.+-~1.~~... tj =20- ~ '1'1~ b~t~ -.3 r(-lot:i~e(.: ~oo -~DJ'X;L~ to ~ -i+;tfz~b~ Pf - 12 ~ : - 40 Ji2...~ 2 f " + I 3/j ; I V)< 2 l('2.ho!j c:; llj +too~ :. I DO X 2.rIOO~2 ~Ia lf2.- I 0 'I;."l - -~ -'1,00 -qwo -t

3 Name, Date 8A. Graph and label (center, vertices, foci, directrix, 8B. Graph and label (center, vertices, foci, directrix, inter~epts as a;propriate): intercepts as appropriate): { (3,.'31) l' Y=~(X2)2+1 Y=12(x- 3 t (3,7-) No 9A. Graph and label (center, vertices, foci, directrix, 98. Graph and label (center, vertices, foci, directrix, intercepts as appropriate)' intercepts as appropriate): (X+3)2 (YI)2-3,CD -,---(x 2),-2 + (Y+I)2 =1 -' "-- + = I C. 'Z. =4'2. b,. C'2 :2. - '" 3-4 c;~ ( - 3.1) F I - ~ - Y I loa. Graph 2x = ~9 + y 2 lob. Graph y =-J9 - x 2 X-,. ~ P~ t ~ 1 e. ~'l-6.!f~ ~~"l~ q~~z. i '1 ~ a, 'f...'1. u2. 0, - lf~ I xy~-3 xy,::;;4 II A. Graph -2 lib. Graph? 2 2x + Y ) < 16 x: + Y < 25 I/o Ih

4 --. I ny' m"lill "INI Uarter 2 Date No 12A. Find the equationofa parabola passing through 12B. Find the equation of a parabola passing throu the points (4,2), (6,5) and (-6,17). (Hint: use the points (0,8). (0,0) and (1',10). (Hint: use.1 + ax + by + C = 0) Xl + ax +by+c::l 0) \ ~...,...,'""...: ~ t-c!.,-;..-\b -~(). - -CO ~ - ("a +l1h+ --3b x~+(~)~z: 13 X2..+;tQ..=13 x.'j. )<.t +~:;. t~x~ rv= Solve' 1 1 y =x +9 15A. M(3,6) is the midpoint ofsegment AB, for A(-1,8). Find the coordinates of B and the length AB. A(-l )~) -l+x z.. 'J...:= Hl3,Ip ") =,3 e.lli d l;1 ::. (1) Lf) =~ BlX, lj') 158. M(3,5) is the midpoint of segment AB. for A(-2,6). Find the coordinates of B and the length AB.

5 I""ome, I nglly\q I rt "nul Quarter 2 Date No 1A. Write the equation of this conic: 18, Write the equation ofthis conic: e.-~~ C-en-te.'i (y,y) (~ )4- ) c.,'l::::. Q'1- b:l.. 4= Cl - b :Lb~S 2A. Write the equation of this conic: 2B. Write the equation of this conic: - - l,..f-:- 2,, -? ----~-.;;;;: ~- - 3A. Complete the square and put in standard form. 38, Complete the square and put in standard form. 3x 2 8 y 2-24x-32y-8 =0 3x 2 -l +6x+4y+2 =0 3Cx'=t- JX-t \') - 1(~)..-4~t.q)~ -~-+3 3 (X+\) L - \ (;::+v----=:l.=.1ị --= ,1----::-----., \-i V\? -yrocv ClJ-l)L ~+ I)J-=- Ij v,,. 3, 4A. Complete the square and put in standard form. 4B. Complete the square and put in standard form. x 2-12y-lOx+49 = 0 ~b"lui"a 4'~ G' X?:.'4j- 4X-Lo:= 0 X'L- 4X-t ~ -= '2.lJ tlj) t-l{ I \'1- RlrCU:DlC\ \X- d } == tid, 'l..\ '::: =Y2. x 'l.

6 Trig/Math Anal Name. Quarter 2 Date No 5A. From the definition, write the equation of a 58. From the d"efinition, write the equation of a parabola with focus (-3,4) and directrix x = 1 parabola with focus (2, -5) and directrix x = 1,(~ I (XI)'l-+{~ -ljj1-s (>\-2.Y+(~-t ()\-I)~ =(X-2"'tt- ~ts)'}.. \?. '). (\').. ~-t-\= X-4)/,.i-lf + ~+S J 1X '== l ts)"l.1-~ X,== '/2( t S)"J.t ~ 1. 6A. From the definition, write the equation of a 68. From the definition., wnte the equation of a hyperbola with foci (±5,0) and difference of the focal hyperbola with foci (0.±4) and difference of the focal radii = 8... = 6. 0,'1 -J.X-ot+~-4)J-- ~-~+~t4t= h"""+ ((\-Li'>"'" =0 to t J~ """+4jt'\j""" O,-~ :~-y)'). = 2W+\a~ )(1.+ (1j+4)1- t- ~~l\ - ~ 'jtt\a. = ~+\d ~ )C.~+( +"4)">- + ~...---'- -llt>~-~= \3 'l(~-+( -t-4)l ltj. 4~+q := -:3 )('L+(~14)"1- ~ - 7 ': I '}.+ = ~ +\'-t r 7A. From the definition, write the equation of an. From e definition, write e equa on ofan ellipse with foci (±4.0) and sum of the focal radii = ellipse with foci (0,±3) and sum of the focal radii = ~ ~(X+Y'f~-Oy-' +[X-y\\<y-o)'}- ~ \0 ~ {LX+4)"J-r lj1. -z: lo - J{X.-Y)2.-+Lj1. ex,.-t '-f)>-+'l:f z: \ 00 - QOh--'t)>-+If +()I.--t.tt+ ~~X+~= \CO-~0~-yV+~1.- +"'K.l~'X+ \LD)(.-\OD ~ -doj(x-4)l.--+ ~1- tx-j5 =-~~-Y)1-+l1'1. lld~').-~)(+locls~j~x'l.~~+ltco-t J ').JS = qx.'l+~y1- "AI 1

7 l''klme, I r ~'91 mui n I'\rlUl Quarter 2 Date No. 8A. Graph and label (center, vertices, foci, directrix, 8B. Graph and label (center, vertices, foci, directrix, ntercepts as appropriate): intercepts as appropriate): 1 : 1 ' =-(x-3) +2 Y=6"(X-2t ~-\~ \~-t '1..= 0 9A. Graph and label (center, vertices, foci, directrix., intercepts as appropriate): (x+ 3): + tv -1f = ::. -L 4c --~ ~=-l. to LfG 4c ;:: lo C-::.' V~~ y= -.5 9B. Graph and label (center, vertices, foci, directrix, interce~ts as appr?priate): c'l.== Q'1.. b ~ (x-2)" + (y+lt =1 C-= :MJ -Q (,.'2..=:. II C=3.3 (2,-.!).(~)- I ") 10A. Graph 2x = ~9 + y' lob. Graph y =-,,/9 - x~ y'-= CJ-x.1.. X~+lj 1..= Cj xv : A. Graph x +Y < 16 xv ~4 lib. Graph ' 2 X 2 + Y < 25

8 Trig/Math Anal ~ij~[~~'~a ;w :~ Name Quarter 2 ~ Date No 12A. Find the equation of a parabola passing through the points (4,2), (6,5) and (-6,17). (Hint: use 12B. Find the equation of a parabola passing through the points (0,13), (1, 8) and (-1,20). (Hint: use x 2 + ax + by + c = 0 ) x 2 + ax + by + c = 0 ) 1:>10+~ ::: 0 -=-> -U 2 C. - 0 I +.CA -a- - 0) z: CO b ~ 2t : to wbtc =0 -z.b ~ / '2.G!- l~,: 0 l- ~ - ~ 1"3 = e = %' - '~-I :.. -'" X2 +2 y 2 =12 DB. So1ve ( 3~ - y2 =8 ) 1 lx1. = cl8 tt~ y x=<! ~ r x) +yl =13 11A Solve xy+6=o xv=6 14B. Solve?- ~== JL Y 2 =x+'1 X XLf-t9 X'1. ::w == 0 ( X21' \1..Yx'l. ~; ="-0 X:: if3 J 15A. M(3,6) is the midpoint ofsegment AB. for A(-1,8). Find the coordinates of B and the length AB M(3,5) is the midpoint ofsegment AB. for A(-2,6). Find the coordinates of B and the length AB. a Al-2} 10") tvh ~ I ':J) f)( xi L1 ') X-g =3 ~=5 ~ ~ X~~ - JDLt