ffil,r*r,#s:"P;
e
Identify the values
@f
a, b, and c in the quadratic funetion,
1. l:6xzi3x*5
z. ,:tr*? - -r *
4- Y: -2xz *
E.
9x
,:)*'-
g- Y:7x2 -
8
6-'Y:
tO
3x
-
|
-Bx2+3x .7
Tell whether the graph opens upward or downward. Then find the axis of
symmetry and vertex of the graph of the function.
\.n
7' Y:x'-5
1A- Y:3x2 -
9- y:-bz+6x*7
8' Y:-*+g
Lzx
11- Y:3x2 +
+|
6x
-
12.
2
"1
y: -ixz - 24
ls.
,:i.*'*5x:4
14-
16.
!,:3x2-2x+3
17. ,r': -2x2
*
7x
!:'-2x2 *
7x
-
21
15. ,--r*'*9x-8
*
18. !:3x? + 2x -
1
5
Find the vertex of the graph of the function. Make a table of valules using
x-values to the left and right of the vertex-
19. Y:x2-10x*3
20.-
Y:-x2*6x-2
9
>
C'
so
E
o
(.)
21. y:i.*'-x*7
,:!,*z_
zx+3
.=
E
=Co
.E
so
=
o
=o
.o
-2
E
6
Srptr the function.
23.
y: -* -
Lahel the vertex and axis of symmetry'
24-
tO
Y:
?scz
+
25.
3
Y:
-2x2 + 2i + |
=6
.=
o
o
,o Q
-15
-5
15x
,>'!
(9
E
.P
>
a
o
x
-5
.],'
I
1
x
3
I
Atgehra
Chapter
l0
t
Besource Book
23
Practicg B
Far
26-
Y:5f
+
use with
f
continrted
pages 635-64'0
27-
2x
y:*-8x+5
Y:-)-x2*x-.4
v
3x
_J
10.r
-3
3x
1
1
10
ze-
y:-l*-&+3
3r,, .y
: f,* *3r-1
sl..
y:
-1*' -
2r + Z
v
-2
-10
x
I-
-L7
a
1
-30
10
-10
-
j,o
Jto
-1
t
Teli whether the function has a minimurn Value sr a ma*irnum value.
Then find the rninirnu.unn or rnaximum value,
sz. f(x):8x2 sS.
40
1=.flr): -s*+10x-2
34.
/(r):8*-qx+q
Storage Buitding The storage building shourn can be modeied by the graph of the
flractio L y : - O -12.x2 + 2.4x where x and y are measured in feet. What is the height
h attbe highest point of the building as shown in the diagram?
>.
C
_
o
a'
E
o
(.).
.C
=o
t
o
=
-o,
v
i0
..o
@
'=
E
h
rG
6
=
E_
14
Velvet Rope A parabola is formed by a piece of velvet rope
found around a museum display as shovrn. This parabola can be
modeledbythe
where x
graphof the firnctioa y :
**'
- lf,
+
Algehra
24
1
Chapter 10 Besource Book
o
x
=
o
.s
>
@
E
o
'=
+O
and.y are measured in inches andy represents the
mrmber of inches the parabola is above the grormd- How
above the ground is the loniest point on the rope?
18
far
'q
'
o
t