CULMINATING ACTIVITY REVIEW
(Part 2)
PART C: QUADRATIC RELATIONS II
CONCEPT REVIEW:
1.
EXPANDING BINOMIALS
3x(x – 2) =
(2x – 3)(3x + 4) =
=
(x – 5)2 =
=
=
2.
VERTEX FORM  STANDARD FORM
y = a(x – h)2 + k
(vertex form)

y = ax2 + bx + c
(standard form)
Write the equation in standard form:
y = –3(x + 1)2 – 5
TRY: p.286 #1, 3
CA
p.288 #1–3
page 1 of 2
PART D: EXPONENTS
CONCEPT REVIEW:
1.
EXPONENT RULES
A.
Multiplying powers of the same base:
am  an = am+n
B.
Dividing powers of the same base:
am  an = am–n
C.
Power of a power:
(am)n = amn
D.
Zero exponents:
ao = 1
E.
Negative exponents:
a n 
1
a n
a
 
 b
2.
1
an
 an
n
 b
 
a
n
EXPONENTIAL GROWTH AND DECAY
HALF–LIFE
A  A0
where
t
h
(0.5)
A is the final amount
Ao is the initial amount
t is the time period
h is the half–life
d is the doubling time
DOUBLING
A  A0
t
(2) d
must be in the same units
Example: A bacterial culture began with 7500 bacteria. The population doubles
every 36 hours. Calculate the number of bacteria present after
2 days.
TRY: p.414–415 #1, 3, 5, 10
CA
page 2 of 2