Name. _

Date No 18. Write the equation of this conic:

,y . ~'---~ F( ''...J ( '1, 4

28. Write the equation of this conic: 2A. Write the equation of this conic :

\fer-\{:K.­(lo) -3~2 ')

(Lo )-Y2 ')

- - - - .... :: - .

JA. Complete the square and put in standard form Name the conic. 3x2 _8y 2 -24x-32y-8 =0

38. Complete the square and put in standard form . Name the conic.

3x 2 - / + 6x + 4y + 2 =0

48. Complete the square and put in standard form . Name the conic.

x 2 -2y-4x-6 = 0 '2.

X-lOX t ~5 = IJ~-~+~5

( 'X -SJ~ = I J \-~L\ ~~rCl~'~~_

('X -5)'1.-+ :tL\ ~\:,) ~::; fi(~ S:;')'"'--t L

--

NOme:..- _I rlg'MoTn 1\001

7A. Froin't -e deM itlon, write-me equatIon onm

radii = 8. (;<'ILj

-

7B. From the definition. write the equation of an ellipse with foci (0, ±3) and sum of the focal radii = ellipse with foci (±4.0) and sum of the focal radii>

10. 20. ~3J"")L"4{-3):I ~ 0y~ (l.( ~3):L : z,D "X~ r

1j'~1.+-~1._~~ ... tJ =20-~ '1'1~ b~t~ -.3

r(-lot:i~e(.: ~oo -~DJ'X;L~ to ~ -i+;tfz~b~ Pf

12 ~ - 100 : - 40 Ji2...~ 2 f " + I 3/j + 100 ; I V)< 2 l('2.Ho!J c:;

llj +toO~ +- 10000 -:. I DO X2.rIOO~2 ~Ia 4-9

- 41lf2.- I 0 'I;."l --~ -qwo -t1100 -'1,00

2. 2.

~uo rter 2 Date No SA. From the definition, write the equation of a SB. From the definition, write ' the equation of a 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)lj) L- (J\IjJ

X+3) + 'y- L.\ ,)'2-= (X-j)"

~+(o)(+Cl +(lj _Y)"L ~"x:-dX.t I ( -Lj 1- = -'DX

- Y?J ( -tt)~ - \ ::; X 6A. From the definition, write the equation of a 6B. From the definition, write the equation of a hyperbo Ia with foci (±5. 0) and difference of the focal hyperbola with foci (O,±4) and difference of the focal

radii = 6.

Name, _

Date No 8A. Graph and label (center, vertices, foci, directrix, 8B. Graph and label (center, vertices, foci , directrix,

intercepts as appropriate): inter~ePts as a;propriate) : { (3, .'31) l' Y=~(X_2)2+1Y=12(x- 3t +2 _ 0 ... 6

(3 ,7-)

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 (Y_I)2

( - 3.1)

= I -3,CD -,---(x 2),-2 + (Y+I)2 =1

-'-----------"-- + 25 3616 25

C. 'Z. =4'2._ b,.

C'2 :2. - ' " 3-_ 4 c;~

I - ~ - YIF

lOA. Graph 2x =~9 + y 2 lOB. Graph y =-J9 - x 2

X- ,. ~ P~ t ~ 1 e.

~'l-6. q~~z.

!f~ ~~"l~ i '1 ~ a, 'f...'1. u2.

0, - lf~ I xy~-3 xy,::;;4

II A. Graph 2 lIB . Graph? 2 x: + Y < 252x +

) < 16--Ih

Y-I/o 1£0

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..=13x.'J.­

)<.t +~:;. t~X~

15A. M(3,6) is the midpoint of segment AB, for

A(-1,8). Find the coordinates of B and the length AB.

A(-l )~) •

Hl3,Ip ") •

BlX, lj ')

-l+X z..

'J...:=­

=,3 e.lli d

l;1 ::.

=~

(1) Lf)

rv=6 148. Solve'

1 1

y =x +9

158. M(3,5) is the midpoint of segment AB. for

A(-2,6). Find the coordinates of B and the length AB.

- -

I""ome, _I ngllY\Q I rt "nul

Quarter 2 Date No 1A. Write the equation of this conic : 18, Write the equation of this conic:

e.-~~ C-en-te.'i (y,y) (~ )4- )

c.,'L::::. Q'1-_ b:L.. 4= Cl - b :L­

b~S

----~-.;;;;:._.

2A. Write the equation of this conic : 2B . Write the equation of this conic:

l,..f-:- 2 , , - ?- - - - - ~- ­ -

38, Complete the square and put in standard form. Name the conic. 3A. Complete the square and put in standard form .

Name the conic.

3x2 _8 y 2 -24x-32y -8 =0 3x2 -l +6x+4y+2 =0

3Cx'=t- JX-t \') - 1(~)..-4~t.q)~ -~-+3­3 (X+\) L - \ (;::+v----=:L.=.1.i--=-- ----..,1----::-----.,

\-i V\?€-yrocv ClJ-l)L_ ~+ I)J-=- I j v,, . 3 ,_ _

4A. Complete the square and put in standard form . 4B. Complete the square and put in standard form. Name the conic. Name the conic.

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.

Name. _Trig/Math Anal 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

(X_I)'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= "AI

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 of an ellipse with foci (±4.0) and sum of the focal radii = ellipse with foci (0,±3) and sum of the focal radii =

20. 10. ~

~(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-

1

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 +112

~-\~

\~-t '1..= 0 •

0..::. -L4c

--~

y= -.5 ~=-l. to LfG 4c ;:: lO C-::.' V~~

9A. Graph and label (center, vertices, foci, directrix., intercepts as appropriate):

(x+ 3): + tv -1f =1

16 25

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 -Q5 25 36(,.'2..=:. II

C=3.3

•(2,-.!)

.(~)- I ")

lOB. Graph y =-,,/9 - x~10A. Graph 2x =~9 + y'

y'-= CJ-x.1.. X~+lj 1..= Cj

xv :2.-3 11A. Graph . 1 2

2x +Y < 16

xv ~4 lIB. Graph ' 2

X 2 + Y < 25

• •

Name _Trig/Math Anal ~ij~[~~'~a£;w :~ Quarter 2 ~ Date No 12A. Find the equation of a parabola passing through the points (4,2), (6,5) and (-6,17) . (Hint: use

x2 + ax + by + c =0 )

x) +yl =13 11A Solve

xy+6=O

r

15A. M(3,6) is the midpoint ofsegment AB. for A(-1,8). Find the coordinates of B and the length AB.

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 )

1:>10+~ ::: 0 -=-> -U _2 C. - 0

I +.CA -a- - 0) z: CO b ~ 2t :. - 2 1- 0. to wbtC =0 _

-z.b ~-2.

-. - / '2.G!- l~ ,: 0 l- ~ - ~ 1"3 =

e. 13 0..= %' - '~-I :.. -'" X2 +2y 2 =12

DB. So1ve ( 3~ - y2 =8 ) 1­

lX1. = cl8 tt~ y x=<! ~

xv=6 14B. Solve ° ?- ~== JL

Y 2 =x+'1 X­

XLf-t9 X'1._ ::w == 0 J

( X21' \1..Yx'l._ ~; ="-0 X:: if3

158. 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