March02,2016
1.
Factor each polynomial completely. Write any repeated
factors as powers.
2.
List the different factors. If the polynomials have common
factors, use the highest power of each common factor
1
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2
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3
Mr. Shore
Algebra 2 AB
Unit 10 Day 14 - Examples
REVIEW
PART I: WRITING EQUATIONS
WRITE AN EQUATION FOR:
1.
Ellipse with foci (17, 0) and co-vertices (0, 15)
2.
Ellipse with foci (0, 8) , co-vertices (8, 0) .
3.
Parabola with vertex at (0, 0) and focus at
May10,2016
Fory=atan(bx)
the period is
b
Once cycle occurs from
2b
to
2b
there are vertical asymptotes at the
end of each cycle.
1
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2
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3
May10,2016
4
May02,2016
the ratio of the intercepted arc
length, s, to the radius, r
s
= r
One radian is when a central angle
intercepts an arc that has the same
length as the radius of the circle. In
other words, when s = r.
Degrees to Radians:x
Radians to Degrees: x
March14,2016
4 types of conic sections formed by the intersection of a double
1. circles
right cone and a plane
2. ellipses
3. hyperbolas
4. parabolas
1
March14,2016
d=(x2x1)2+(y2y1)2
(
x1+x2
2
, y +y
1
2
2
)
2
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3
May06,2016
Functions whose yvalues repeat in regular intervals
called cycles. The length of the cycle is called its
period.
1
May06,2016
period the horizontal length of one cycle
amplitude half of the difference between the
maximum and minimum values.
Amp
Date _
Period_
Unit 11 Test Review Sequences & Series
1. Given the sequence, 2, 6, 10, 14.
a. Find the 100th term.
b. The term 7194 is in the sequence. Which term is it?
c. Find S75 .
2. Insert 5 arithmetic means between 17 and 63. (Give your answers as f
Mr. Shore
Algebra 2 AB
Unit 13 Day 6 - Examples
REVIEW FOR TEST
EVALUATE EACH INVERSE TRIGONOMETRIC FUNCTION USING THE UNIT CIRCLE AND SPECIAL RIGHT TRIANGLES.
GIVE ALL POSSIBLE SOLUTIONS IN THE INTERVAL 0 2 .
1
2.
tan 1 3
1.
sin 1
2
3.
1
cos 1
2
4.
April18,2016
the indicated sum of the terms of a sequence
Sequence
3, 6, 9, 12, 15
Series
3 + 6 + 9 + 12 + 15
can be represented by using the Greek letter
5
(2n)
n=1
"The sum as n goes from 1 to 5 of 2n"
1
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2
April18,2016
the sum of the term
Mr. Shore
Algebra 2 AB
Unit 14 Day 6 - Examples
REVIEW FOR TEST
1.
Given: 56, 78, 125, 34, 67, 91, 20
Determine if there are any outliers. Justify your reason.
2.
Suppose you guess on 4 true / false questions. What is the probability you get all 4 correct
April13,2016
an ordered set of numbers
Each number in the sequence is a term of the
sequence
To represent terms of a sequence we often use
variables such as:
a1a2a3an1anan+1
1
April13,2016
a formula for a sequence in which one or more previous
terms ar
April14,2016
has successive terms that differ by the same
number, called the common difference (d).
Recursive
a1=
an=an1+d
Explicit
an=a1+(n1)d
an is the nth term, a1 is the first term, n is the
number of the term, d is the common difference
1
April14,2
June01,2016
Important features:
1.
2.
3.
4.
5.
The situation involves a fixed number of repeated trials, n.
Each trial has two possible outcomes (Success or Failure).
The trials are independent.
The probability of success is constant throughout the trials
March15,2016
Definition: the set of all points in a plane
equidistant from both a fixed point called the focus
and a fixed line called the directrix.
The vertex of a parabola is the midpoint of the
segment connecting the focus and directrix.
A parabola ha
Mr. Shore
Algebra 2 AB
Unit 10 Day 4 - Examples
PARABOLA QUIZ REVIEW
MATCH THE EQUATION OF THE PARABOLA WITH ITS GRAPH. (YOU WILL NEED TO COMPLETE THE SQUARE!)
1.
2.
y 2 4 y 12 x 44 0
2 x2 16 x 8 y 48 0
3.
2 y 2 4 y 16 x 34 0
4.
3 y 2 18 y 24 x 75 0
5.
2