Math 3 Exam Review

Finding Horizontal Asymptote for equal degree

#/#

Midpoint formula

(((x1+x2)/2), ((y1+y2)/2))

Formula for quadratics using directrix and focus

(1/2(b-k))((x-a)^2)(b+k)

Area of a Triangle given 2 sides and a corresponding angle

(1/2)abSinC

In the unit circle, the coordinates are:

(Cos,Sin)

Degree->Radians

(Degree)(pi/180)

Z score formula

(Mean-Actual)/SD

Radians->Degree

(Radian)(180/pi)

Phase shift in sine curves

(X-h)

Arc length in degree equation

(X/360)2piR

Area of a sector formula

(arch/360)pi(r)^2

Probability Distribution Formula

(x)•(Probability)

Point Slope

(y-y1)=m(x-x1)

i^2

-1

i^3

-1

Do the two special triangles

...

Work out this trig proof: TanXSinX + CosX=SecX

...

If a & b are 1 in a sine curve, h & k are

0

In a sine curve, the period should occur between...

0 and 2pi

SinX^2+CosX^2=

1

i^0

1

Pascal's triangle (3 lines)

1 11 121

If a discriminant is equal to 0...

1 real answer

In a(#x-h)+k (vertex form), what formula controls horizontal expansion and compression?

1/#=b, if b>1, expansion by b, if b<1, compression by b

p=

1/4a

a=

1/4p (p is the distance from the vertex to the focus)

1 pi radian= ___ degree

180

If a discriminant is less than 0...

2 imaginary answers

If a discriminant is greater than 0...

2 real answers

Medians split triangles into...

2/3 and 1/3

Period of the sine curve equation

2pi/|b|

The three special pathagreom Theorem triangles

3,4,5 and 5,12,13

2 pi radians= ___ degrees

360

what percent inside +- 1 SD

68%

what percent inside +- 2 SD

95%

what percent inside +- 3 SD

99.7%

Equilateral Triangle Area given the length of one side

=((the square root of 3)/4)a^2

(-x)^2 is this transformation:

A reflection over the y-axis

What sides are positive on the unit circle (acronym)

ASTC

Geometric Sequence Formula

An=A1(r)^n-1

Arithmetic Sequence Formula

An=A1+(n-1)d

Infinite Geometric Sum with r>1

Cannot find

Systematic Sample

Chose in a pattern

Simple Random Sample

Completely Random

Cluster Sample

Divided into groups, one group is chosen and everyone in that group is surveyed

Stratified Sample

Divided into groups, then randomly chosen

Standard Deviation

Find the variance. Square root it.

Amplitude Definition

How high a graph can go. Will always be positive. changes the range. changes height.

how to cubed root a polynomial

In #x^3, find the cubed root (including the number). find the cubed root of the # and keep the sign. Add into an additional box, the square of the first new term, the product of the first and second new terms (change the sign) and the square of the second new term.

Central Tendency definition

Median

How to find Expected Value

Multiply the number by the probability. add them up

Continuously Compounded Intrest

Pe^rt

Interquantile Range (IQR)

Q3-Q1

Congruent Triangles Rules:

SSS, SAS, ASA, AAS

TanX^2+1

SecX^2

Finding Vertical Asymptote

Set the denominator to 0

Law of Sines

SinA/a=SinB/b

TanX=

SinX/CosX

Infinite Geometric Sum with r<1

Sn=(A1/1-r)

Partial Geometric Sum Formula

Sn=A1(((1-r)^n-1)/1-r) (r doesn't equal 1)

Sum of Arithmetic Sequence Formula

Sn=n((A1+An)/2)

Terminal Side

The moving side

Distance formula

The square root of ((x1-x2)^2 + (y1-y2)^2)

Arc length in radians equation

XR

Equation of a Sin curve

aSin(b)(x-h)+k

Law of Cosines

a^2=b^2+c^2-2bc(CosA)

In compound events, ___ the probability

add

The domain for all quadratics is...

all real numbers

In a peice wise function, ( ) means

an excluded endpoint

In a peice wise function, [] means

an included endpoint

Discriminant Formula

b^2-4ac

Perpendicular bisectors meet at the

circumcenter

Medians meet at the

cnetriod

When 3 lines intersect, they are

concurrent

To find the degree using a chart...

count the lines of arrows

segment aka

crust

In fraction, you cannot have complex numbers in the ___

denominator

Finding Horizontal Asymptote for higher degree on the too

doesn't exist

In combinations, order...

doesn't matter

f(x) open circle g(x)

f(g(x))

f(x)/g(x)

f/g(x)

How to find variance

find the mean. subtract each term from the mean and square it. Add them all together. Divide by the number of terms

f(x) • g(x)

f•g(x)

In odd functions, the end result is...

going opposite directions

Find the geometric mean of h and k

h/x=x/k

When a line connects two midpoints of a triangle, it is ___ the length of the ___ ___

half, opposite side

i^1

i

A directrix is a (point/line)

line

skew lines definition

lines not on the same plane

logbX=

logX/logB

In permutations, order...

matters

p(a&b)=

p(a)•p(b)

A focus is a (point/line)

point

Angle bisectors meet at... when inside the triangle

point of concurrency and incenter

Angle bisectors meet at... when outside the triangle

point of concurrency and orthocenter

Circle Formula

r^2=((x-h)^2)+((y-k)^2)

sector aka

slice

If a^2+b^2>c^2

the triangle is acute

If a^2+b^2<c^2

the triangle is obtuse

In a(#x-h)+k (vertex form), a controls ___ expansion and compression

vertical

Finding Horizontal Asymptote for higher degree on the bottom

y=0