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