5.1
—
5.3 Quiz Review
Determine whether each function is linear or quadratic. identify the quadratic, linear, and constant
terms.
1. f(x)
=
7(x —2) + 5(3x)
LK
QT:
flcQ
LT:
22.
CT:
y=5x(x—5)—5x
2. 2
QT:
54
\coj
hC
LT:
CT:
=
25y
3.
4.
.1
0.5
Q=
Q=
‘H:N
p’=
P,=
V2 -/)
Q,=_______
Q’=
1.
/
-
_;5
_________
Identify the vertex and axis of symmetry of each parabola:
5.
6.
3
/
2
2
4
Veex:
Vertex:
Axis of symmetry:
/
Axis of symmetry:
/
2
7. A toy rocket is shot upward from ground level. The table shows the height of the rocket at different
times. Find a quadratic model for the data using your calculator. Round to the nearest tenth.
Time (seconds)
0
1
2
3
4
Height (feet)
0
26
48
67
83
=
-(÷7?(
8. Using your quadratic model from #7, estimate the height of the rocket after 1.5 seconds.
4(
0
Q t) Q
9. Find the quadratic function of a graph that includes (1,0), (2, -3), and (3,-b).
—ZEQ.
Qft\c:
K
+
0
—
E
E
I
0
E
S
S.
0
—
I
C.,
+
>
II
r$
—---
•—
--t-
-
-
—
-4-
Lc)
I
II
—+
-t
(4
(-c-J
----‘
::::::::: ::::::::::
r)
N
‘-4
9
,—
&
C
N
c-c)
PHi:
-C-
>
Co
II
10
-Th
-‘
0
N
N
I!
+
+
t’J
-
—
—
-
—
-
—
a
-‘
+
14. The barber’s profit p each week depends on his charge c per haircut. It is modeled by the equation
p
2
—200c
+
Z0O2
2400c —4700. Determine what price he could charge for his largest profit.
iOOX-41OQ
-
—
e
lO\
N
O\ C)M
oe&) +LQo(-i
25x
15. A lighting fixture manufacturer has daily production costs of C
2
0.25n
IOn + 800 where C is the
—tXktotal cost in dollars and n is the numbers of light fixtures produced. How many fixtures should be
produced to yield a minimum cost?
=
—
-
-
(Lc
-(o)/
(z(cr
\
2o
-
C{
2o
Thu (
oo
1c
(\
Q
ccs o
-
cO
Graph each function. Label the axis of symmetry and the vertex.
16. y=x
2 +2x—6
\j
17. 2
y=x
+
6x+7
_6(
(-t(-’)-L
t—7-
‘
,(
• L
\Qk &
-
\-lfl.
(- (cV3
1
( fl)
-
(
2
r
:
-
-
I
-
-
—
.
-
.
-
—
—i--
--
—•
—
••.—••
y=3(x—1)
+
18. 2
1
19.
y=(x+2)2
(@4
Lf5
20. What is the vertex and y-intercept of y
Vertex:
ç)
=
(x
—
5)2
—3?
Axis of symmetry:
c=5
Rewrite each function in vertex form.
21. y=3x
2 —8
\!k .
(G,
22. 2
y=—x
—
5x+6
—
)c
4:
*