Types of graphs
The types of graphs covered in Algebra I included the following:
Linear
Quadratic
Absolute Value
Exponential
Ouadratic Function
Standard Equation:
!:
mx + b
!
= axz + bx+ c
Exponential Function
Ahsolute Value
'"r'"--'r'-"
Standard Equation:
:'4rY
1:23,4
Standard Equation:
! = alxl+ c
Standard Equation:
! = a'
Graphing a tr inear Function
Graph 3y - 6x = 9
aN*3
b%
(n,s)
3
uoj *Gh";E
* 6b *ua
5'
,d
A,{ *
frft.s
d"d,S
b'
s u ?#
d
"&
€
Solve problems using linear equations.
Solve the system of equations algebraicaily
3x+Y=$
x +3Y =70
& B: u^r',::.= ::-rru,72.
fr uA:/,
a
.
u
-
-
*
#
--
&V s -,a4
-q.4
",$
*G
^.
V0- :'3
x %-l
{^
oHi w& so".)
b.
5\
SxrY*t6
3x q 3 ** 6
&x e 3
{ t.s}
Fry
FisqF
3b
?tt;-j
$
"fr;ftq,
Sgde/e
:\
-*
1
I
3
y
A baseball
for $76.50. On another day, she bought 3 bats and 1 dozen
balls at the same prices and paid $81.00. How much did she pay for each bat and ball?
manage.l" bought 4 bats and 9 balls
4a*1n = v6"f a
3 fr
@
*'nl4 =$1 o0
s't4'5"CI
^7H = ^"31,,{
*7
-t
*4 tr $a7
!=x2
N
_
3e r {{ ?gl
3$ z a'7
J4t4
8r1
ffii
= 4.{
Graphing a Quadratic Function
GraPh
3Ba,J(q.,s) s?d
-t6H'r'c$ +qH
a 7tt +rog -efu','Q
o 58 t tl.N : Sl,Pcl
38 E -l& fi +gt
fl:
@ zn, tert rfft
rl('tfi rar) t I Yl r 76,trtt
5x+4
Qo*.rttutie
,t
4*+br+c.
5= gt.,"fr
+1
J*
c6l
q
I
l; rt$
t
t
x.* *
t
.J
-l -s _z -l
0
I
("t
?,
5"
3
{
o^r*5(r) *'f
,*-f1,1 -1
i'.51"1 tT
&
"rn -{ta.E}
+{
z'-t1s7 t4
"5fi) * I
u1u
E)rb)
''i
0
/lr'l{
-t,aJ
{
t-
o
JI
Solve problems using quadratic functions.
The length o f a rectangular garden is 4 meters more than the width. If the area
meters, what are the dimensions of the garden?
L= 4 rv,
Aquq
fi: 6'w
W* h/
A*6
fr',rrie
fr
w
A=
60 =
k-*X'-')
+v'*
uf
6;
i"
t
of the ga rde n is 60 square
w"6
fz
6,
tt{
I
t)
I
J
rJ* - 6<r
o : Y/Jd
o -(w,'-)l(v"d
h/,illsr,c I t^t'6*v
*X,'
[ *'t
I
Graphing an Absolute Value Function
Graph
t
=lxl+Z
o4
b",
f
*ln
t=ot*
3"
G=l
C tt "1"
-t -j -a -s
s 2 3{
/u,lo*
+C
lx *&
Solve problems involving absolute value functions.
of
A bu*i*j t V"iu
y=-lt-:l
"L*'l) t,c
v.*3
t';
r'r = -'!
:il ri:i
l::r
: a"i- f ia-:"a-'a"i
:,-i.:.-i..i.. i.,i-1.
*
.:.
ps:3
f:'ct
tt *erl".
-*
,:'i
' 'i e+'! nt'
l'u
;
4
Etrpurl^i
,,)l',
,
,, r'i/
3 r.
n.
l' ,'n'
i]
d6,@..-'#-*
rt
,
v;j;t;,,
I
i,
u
t., t t
.f l''
;F,.rl'r" J!i\' It
!h"
u, 1X'7."{c}tY
ro*
o
f os ..f * tiTtec'l
-r,
'ti
Graphing an exponential Function
GraPh
P
"9M,]A"rnof t{"*;r*,lj
! =2' overthe interval -1 < x < 3
q 4abtt
*r val
tl, t'e *A u J:t"l
t vol
ua$"
i
r
14nKa
k
bf -C;,r
JV
lt)
fr t"'u
4
afi'
X
t
Je
-i
&
t,)
E.(
t
o
{y
e
I
J
I
2"
I
f
l"p
o'1,
erds ot
1*l+rvnld
Solving Problems using exponential functions
Mr. Viscanti wants to trade in his current car to buy a new car. He bought his car new for $30,000 in 2000. If it
depreciates at a rate of 9o/o a year, how many money is his current car worth?
0tilre,iJatr*^
- q aRu
=
Z tr oi i1pn" J €p r€, e is.t1 r a'f ?7u
LT r j' vJer+i4r /r
d
Ge, r'. ,{r al A*1""1 \
(cr'r o J g+rrL'e)
#e'
r
ff, =
&
z
d"
/ =, ro, o "* /" ? ')tl
r*q"
Sam wants to invest $3,000 in bonds. He has two options to invest his money.
Option 1: Sam can invest his money for 5 years at arate or 2o/o ayeat.
Option 2: Sam can invest his money for 7 yeas at arate of lo/o ayear.
Which option will earn Sam more money?
0 i,{ or"
.-f,--
A
1/: 3.
{*f
{
o
so f l, O*)'
g Jt&,ef
al lw" L
{=
3,oru{'t'ol)t
t{s
3 At6"yg
L'
0/t,6"
:
I
lar
u';
tr ff
fI
;Y('"
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