aleks midterm

graphing a parabola

ax^2+bx+c x=-b/2a (x value of vertex)

log

log(little a)c=b a^b=c

to convert degrees to radians

mult degrees by π/180

intersection

numbers only in both sets

f(x-3) f(x+3)

right left

area of triangle

.5bh

multiplication property of zero

0•x=0=x•0

volume of circle

4/3πr^3

union

numbers from both sets(either or)

distributive property

x(y+z)=xy+xz (x+y)z=xz+yz

inverse addition

x+(-x)=0=-x+x

identity addition

x+0=x=0+x

communicative addition

x+y=y+x

identity multiplication

x1=x=1x

communicative multiplication

xy=yx

inverse multiplication

x•1/x=1= 1/x•x

associative addition

(x+y)+z= x+(y+z) x+(y+z)=(x+y)+z

associative multiplication

(xy)z=x(yz) x(yz)=(xy)z

inverse variation

when a varies inversely with m a=k/m

to complete the square

1) find 1/2 the coefficient of x 2) square that number

volume of a cone

1/3bh

inputs and outputs

g(#)= when x=# g(x)=3 when y=3

areas or rectangles with the same perimeter

if you want to make the area bigger subtract from big side and and add to small side

rational #

integer(whole number) terminating decimal repeating decimals

to find degree of leading coefficient

pick largest degree then coefficient is what number goes with it

f(x) +c f(x)-c

up down

irrational #

π square root 2 2 square root 3 3π

circumference of circle

πd

area of a circle

πr^2