March29,2016
Definition: the set of points in the plane that are a fixed
distance, called the radius, from a fixed point, called the center.
(xh)2+(yk)2=r2
Center = (h,k)
Radius=r
1
March29,2016
2
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3
March30,2016
the set of points in a plane such that the sum of the distances
from two fixed points, called foci (plural of focus) to a point on
the ellipse is a constant.
(h,k)isthecenter
a>b
Theverticesoftheellipsealongthemajoraxisareaunitsfrom
thecen
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
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
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
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
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April04,2016
the set of points in a plane such that the difference of the
distances from two fixed points, called foci (plural of focus), to a
point on the hyperbola is constant
(h, k) is the center of the hyperbola.
a is under the positive term.
When a i
Mr. Shore
Algebra 2 AB
Unit 12 Day 10 Examples
TEST REVIEW
USE THE UNIT CIRCLE TO FIND THE EXACT VALUE OF sin ,cos ,and tan
4
5
1.
2.
3
4
5
6
4.
7.
11
6
FOR EACH ANGLE.
3.
9
2
5.
6.
2
8.
120
9.
315
SOLVE THE FOLLOWING SPECIAL RIGHT TRIANGLES.
10
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
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
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
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
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
May10,2016
2
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3
May10,2016
4
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