Name.
Date
_
No
18. Write the equation of this conic:
,y .
'---~
2A. Write the equation of this conic :
\fer-\{:K.­
(lo) -3~2 ')
F(
'~
...J
( '1, 4
28. Write the equation of this conic:
-
- - - ....
::
-.
(Lo )-Y2 ')
JA. Complete the square and put in standard form
Name the conic.
3x 2 _8y 2 -24x-32y-8 = 0
38. Complete the square and put in standard form .
Name the conic.
2
3x - / + 6x + 4 y + 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
~uo rter 2
SA. From the definition, write the equation of a
parabola with focus (-3,4) and direc . x = 1
_
Date
No
SB. From the definition, write ' the equation of a
parabola with focus (2, -5) and directrix x = 1
(-.3,4)­
J:X+3~:I..-Klj-Y)~-= JtX-f)"1.~lj-Y)~
L-
X+3) +
'. (l)lj)
(J\IjJ
'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
hyperbo Ia with foci (±5. 0) and difference of the focal
radii
= 8.
(;<'ILj
7A. Froin't -e deM itlon, write-me equatIon onm
ellipse with foci (0, ±3) and sum of the focal radii =
20.
J"")L"4{-3):I ~
0y~ (l.( ~3):L : z,D
~
3
"X~
- 12 ~ - 100 : - 40
Ji2...~
2
f "
to
~ -i+;tfz~b~ Pf
+I
+ 100 ; I V)< 2 l('2.Ho!J c:;
llj +toO~ +- 10000 -:. I DO X 2.rIOO~2 ~Ia
-qwo
2.
I 0 'I;."l -- ~
-t110 0
2.
--
-'1,00
10.
-.3
3/j
- 41lf2.-
7B. From the definition. write the equation of an
ellipse with foci (±4.0) and sum of the focal radii>
r
1j'~1.+-~1._~~ ... tJ = 20- ~ '1'1~ b~t~
r(-lot:i~e(.: ~oo -~DJ'X;L~
6B. From the definition, write the equation of a
hyperbola with foci (O,±4) and difference of the focal
radii = 6.
4-9
Name,
Date
8A. Graph and label (center, vertices, foci, directrix,
inter~ePts as a;propriate) :
{ (3, .'31)
Y=12(x- 3t
_
+2
l'
0 .
_
No
8B. Graph and label (center, vertices, foci , directrix,
intercepts as appropriate):
Y=~(X_2)2+1
6
(3 ,7-)
9A. Graph and label (center, vertices, foci , directrix,
intercepts as appropriate)'
(X+3)2 (Y_I)2
-3,CD
-'-----------"-- +
=I
16
25
98 . Graph and label (center, vertices, foci, directrix,
intercepts as appropriate):
-,---(x
2),2 + (Y+I)2 =1
25
36
C. 'Z. = 4'2._ b,.
( - 3.1)
C'2 :2. - '"
3-_
4
c;~
I - ~ I - Y
F
= ~9 + y 2
lOA. Graph 2x
lOB. Graph y
= -J9 -
x2
X- ,. ~ P~ t~ 1 e.
~'l-6. q~~z.
!f~ ~~"l~
'1
~
'f...'1.
0,
-
i
a,
u2.
lf~
I
xy~-3
II A. Graph
xy,::;;4
- -2
)
2x + Y < 16
I/o 1£0 Ih
lIB . Graph?
2
x: + Y < 25
I
ny' m " l i l l
--.­
"INI
Uarter 2
12A. Find the equationofa parabola passing through
the points (4,2), (6,5) and (-6,17) . (Hint: use
.1 + ax + by + C = 0)
\
~...,
~
-~().
- ("a
....,'""...: .....-_----------
Date
No
12B. Find the equation of a parabola passing throu
the points (0,8). (0, 0) and (1',10) . (Hint: use
Xl + ax +by+c::l 0)
t-C!.,-;..-\b
- -CO ~
+ l1h+ --3b
rv=6
148. Solve' 1
1
y =x +9
x~+(~)~z: 13
X2..+;tQ..=13
x.'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 )~)
•
•
BlX, lj ')
Hl3,Ip ")
-l+X =,3
z..
'J...:=­
e.lli
d
l;1 ::.
(1) Lf)
=~
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
1A. Write the equation of this conic :
No
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 :
-
- - -
-
-
-
l,..f-:-
~-
­
2
2B . Write the equation of this conic:
-
, , - ?
----~-.;;;;:._.
3A. Complete the square and put in standard form .
Name the conic.
38, Complete the square and put in standard form.
Name the conic.
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.=.1.i--=- ----..,1----::-----.,
\-i V\?€-yrocv ClJ-l)L_ ~+ I)J-=- I j
v,,
4A. Complete the square and put in standard form .
Name the conic.
2
x -12y-lOx+49 = 0
.
3
,_
_
4B. Complete the square and put in standard form .
Name the conic.
~b"lui"A 4'~ G'
X?:.'4j- 4X-Lo:= 0
X'L- 4X-t ~ -= '2.lJ tlJ) t-L{
I
\'1-
\X- d } ==
,
'l.._\ ':::
tID
RlrCU:DlC\
= Y2. x­
'l.
Trig/Math Anal
Quarter 2
5A . From the definition, write the equation of a
parabola with focus (-3 ,4) and directrix x = 1
Name.
_
Date
No
58. From the d"efinition, write the equation of a
parabola with focus (2, -5) and directrix x = 1
,(~
I
(X_I)'l-+{~ -ljJ1-s (>\-2.Y+(~-t
()\-I)~ =(X-2"'tt- ~tS)'}..
?.
').
(\')..
J
~-t-\= X-4)/,.i-lf + ~+S
1X '== l tS)"l.1-~
X,== '/2(
6A. From the definition, write the equation of a
hyperbola with foci (±5,0) and difference of the focal
radii = 8.
\
t S)"J. t ~ 1.
68. From the definition., wnte the equation of a
hyperbola with foci (0.±4) and difference of the focal
.. = 6.
0,'1
-J.X-ot+~-4)J- -
h"""+ ((\-Li'>"'"
~-~+~t4t=
"AI
to t J~ """+4jt'\ j"""
=0
O,-~
:~-y)'). = 2W+\a~ )(1.+ (1j+4)1- t- ~~l\
~ 'jtt\a. = ~+\d ~ )C.~+( +"4)">- + ~_ . . ---'-­
-llt>~-~= \3 'l(~-+( -t-4)L ltj .•
1
4~+q := -:3 )('L+(~14)"1~ - 7 ': I
-
=
'}.+
7A. From the definition, write the equation of an
ellipse with foci (0,±3) and sum of the focal radii =
20.
~
+\'-t
r _
. From e definition, write e equa on of an
ellipse with foci (±4.0) and sum of the focal radii =
~
10.
~(X+Y'f~-Oy-' +[X -y\\<y-o)'}- ~ \0 ~
{LX+4)"J- r lj1.
'l:f
eX,.-t '-f)>-+
-z:
lO - J{X.-Y)2.-+Lj1.
z: \ 00 -
QOh--'t )>-+If +()I.--t.t
t+
~~X+~= \CO-~0~-yV+~1.- +"'K.l_~'X+
\LD)(.-\OD ~ -dOJ(X-4)l.--+ ~1tX-J5 =-~~-Y)1-+l1'1.
llD~').-~)(+loclS~J~X'l._~~+ LtCO-t J
').JS
= qx.'L+~Y1-
I r ~'91
l''Klme,
mUI n I'\rlUl
Quarter 2
Date
. 8A. Graph and label (center, vertices, foci, directrix,
ntercepts as appropriate):
1
_
:
No
8B. Graph and label (center, vertices, foci, directrix,
intercepts as appropriate):
1
=-(x-3) +2
'
Y=6"(X-2t +1
12
~-\~
\~-t '1..= 0
•
--~
0..::. -L
y= -.5
4c
~=-l.
LfG
to
4c ;:: lO
9A. Graph and label (center, vertices, foci, directrix.,
intercepts as appropriate):
(x+ 3): + tv - 1f
16
=1
25
C-::.' V~~
9B. Graph and label (center , vertices, foci, directrix,
interce~ts as appr?priate):
'l.== Q'1.._ b ~
c
(x-2)" + (y+lt = 1
25
C-= :MJ -Q5
36(,.'2..=:.
II
C=3.3
•
(2,-.!)
.(~)-
10A. Graph 2x
= ~9 + y'
lOB. Graph y
y'-= CJ-x.1..
X~+lj 1..=
11A. Graph
xv :2.-3
. 1
2
2x + Y < 16
= -,,/9 - x~
Cj
xv ~4
lIB. Graph '2
X
2
+ Y < 25
I
")
~ij~[~~'~a£;w :~
Trig/Math Anal
Quarter 2
Name
~
12A. Find the equation of a parabola passing through
the points (4,2), (6,5) and (-6,17) . (Hint: use
2
x + ax + by + c = 0 )
_
Date
No
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
e.
l- ~ - ~
1"3 =
0..= %' - '~-I :.. -'"
13
X2 +2 y 2 = 12
DB. So 1ve
( 3~ - y2 =8 ) 1­
lX1. = cl8
tt~ y
x=<! ~
11A Solve
x)
+ yl
=13
14B. Solve
xy+6=O
xv=6
°
Y
2
~== JL
?-
=x+'1
X­
XLf-t 9 X'1._ ::w == 0
r
( X21' \1.. Yx'l._ ~; ="-0
X:: if3
15A. M(3,6) is the midpoint of segment AB. for
A(-1,8). Find the coordinates of B and the length
158. M(3,5) is the midpoint of segment AB. for
A( -2,6). Find the coordinates of B and the length
AB.
AB.
•
a
Al-2} 10")
tvH ~ ':J )
X-g =3
~
X~~
I
•
f)( xI L1 ')
~=5
~
- JDLt
J