college algebra

f(x)=x

indenity function

f(x)=x²

squaring fuction

f(x)=square root of x

square root

f(x)=x³

cubing

f(x)=y³squareroot of x

cube root

f(x)=lxl

absolute value

y=1/x

rational

-x

reflects across the x-axis.

a>0

opens up

a<0

opens down

a>1

vertical stretch

a<1

vertical compression

h>0

shifts left

h<0

shifts right

k>0

shift up

k<0

shift down

distance formula

d=square(x²-x^1)+(y²-y^1)

midpoint formula

(x^1+x²)/, (y^1+y²)

center formula

(x²-h)²+(y-k)²

radical

r=r²

point slope form

y-y^1=m(x-x^1)

slope

y²-y^1/x²-x^1

standard form

ax+by=c

slope intercept

y=mx+b