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Precalculus
Sections 2.1-2.3
Review for Quiz
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Find the equation of a circle satisfying the conditions given, then sketch its graph:
center (0. 0). radius 6
-il L+1tr - k\2 x'*\t = 3Q
2.
1 z-
Find the equation of a circle satisfying the conditions given:
center (-2,3), diameter 10
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3. Identify the center and radius of the circle, then graph. Also state the domain
range of the relation: (x -2)' + (y -3)' = 4
D:
Cenk+ G,
R:
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and
4. Write the equation in standard form to find the center and radius of the circle.
sketch the
YL+6x
graph: x' + y' + 6x + 4y +12 = 0
*\t* ?tr=-\L
X'*6r+t h bt* 1tr* \z
(*tt- | h*zf '
-tL+1+Lt
\
ae"'j< (-1, -t
f o-J l*+
t
5. Graph the following equation using the intercept method. Plot a third point
check: -3x-2y =6
as a
/
(0
jv
-Zz=
. _.)
Y--o', - L"0.= G
.d= -3
0
io,
- 3)
I'O', -jv=
\*'L
&,0)
(a
-t(f,
lz
z1s\
-A
G=d
b=&
t'/
6. The graph shown models the relationship between the number of circuit boards that
have been assembled at a factory and the number of hours since starting time. (a)
Determine the slope of the line and interpret what the slope ratio means in this context
and (b) estimate how many hours the factory has been running if 225 circuit boards have
been assembled.
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300
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ts
ts
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LL
t-4
r
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= 3?'5'
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7. Two points on I,and two points on L, are given. Use the slope formula to determine
if lines L, and L, are parallel, perpendiculat, or neither.
Lr: (6,2) and(8, -2)
Lr: (5,1) and (3, 0)
-43--
-') L
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\^*,- Y
=-5
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-L/ :*L
= -]
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,-'\ :: ,^'L
t-=\
A
P
<-r pe'"
8. Write the equation in slope-intercept form (solve for y), then identify the slope
intercept: 4y -3x =7.2
1.1.^
=
3x+
,'-',U=
('
12-
?x r 3
,4
5{ope= q
q-;*+*r,u,6J =
u
3
,i f c- u lt'f
and y-
I
9.
Use the slope-intercept form to state the equation of the line:
* = -i;3
y-intercept (0, -4)
1_= ^ *LY-
|
(
10. Find the equation of the line using the information given. Write the answer in slopeintercept form.
perpendicular to x - 4y = 7, through the point (-5' 3)
Lt -Llt; -Y+7
'- h
sbe
-t
-)
't= ix
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-q' =)
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$
-1x
_rr(_n;ta
3?
3--70
1
1. Write the lines in slope-intercept form
perpendicular, or
-77a
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-1x-/7
and state whether they are parallel,
neither'
+ 5x =
f l"
b? '?v f
r,
5Y=llx+135
lly
+V
\
5x*7?
l(,--=
(
L? -'Lx -?
0*
vl
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f1
t'{ryL*'
&.
(
ff+Pen*!;*'rVt
12. Graph the following equation: 3x + 5 = 8
3x " 8*5
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