Math 2 Final Exam Formulas

R180⁰

(-x,-y)

ry-axis

(-x,y)

ry=-x

(-y,-x)

R90⁰

(-y,x)

Dk

(kx, ky)

Ta,b

(x+a, y+b)

rx-axis

(x,-y)

Circle Equation

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

R270⁰

(y,-x)

ry=x

(y,x)

Odd Function

-f(x) = f(-x)

X^0

1

=0

1 real solution

Area of Oblique Triangle

1/2ab*sinC

X^-a

1/X^a

>0

2 real solutions

Rotate/Map onto itslef

360⁰/n

Sphere Surface Area

4πr^2

Exponential Decay Formula

A = P(1+-r/n)^nt

Area of Circle

A = πr^2

Area of Right Triangle

A=1/2bh

Area of Rectangle

A=bh

Circumference of Circle

C = 2πr

P(A∩B)

Intersection, "and"

Permutation

Order does matter, total P positioned

Combination

Order doesn't matter, total C chosen

Multiplication Rule

P(A∩B) = P(A) * P(B)

Addition Rule

P(A∪B) = P(A) + P(B) - P(A∩B)

Surface Area of Cylinder

SA = 2πrh + 2πr^2

Cone Surface Area

SA = πr(r+√h^2+r^2)

Law of Sines

SinA/a = SinB/b = SinC/c

P(A∪B)

Union, "or"

Pyramid Volume

V = 1/3Bh

Volume of Cone

V = 1/3Bh

Sphere Volume

V = 4/3πr^3

Volume of Cylinder

V = πr^2h

Volume of Prisms

V=Bh

1/X^-a

X^a

X^a*X^b

X^a+b

X^a/X^b

X^a-b

(X^a)^b

X^ab

Pythagorean Theorm

a^2 + b^2 = c^2

Discriminant

b^2 - 4ac

Law of Cosines

c^2 = a^2 + b^2 -2ab*cosC

Cah

cosine = adjacent/hypotenuse

Even Function

f(x) = f(-x)

Joint variation

kxy=z

Linear Equation

m=y2-y1/x2-x1

<0

no real solutions

Soh

sine = opposite/hypotenuse

Toa

tangent = opposite/adjacent

Axis of Symmetry

x=-b/2a

Inverse variation

y = k/x

Direct Variation

y = kx

Vertex Form of Quadratic

y=a(x-h0)^2+k

Graphing Trig Functions Amplitude: |a| Midline: y=b

y=a*sin(x)+b

Y-intercept form

y=mx+b