vertex form for parent functions

the h value does

+h = left -h = right

the k value does

+k = up -k = down

the a value does

-a(x+h)=opens down f(x)= a |x|, a>1 = stretch 0<a<1 = vertical shrink

x is

the input of the function

y is

the output of the function

vertex form cube root

y= a 3√x-h +k

vertex form absolute value

y= a |x-h| +k

vertex form rational function

y=a 1/x-h +k

the vertex form for radical (square root) functions

y=a √x-h +k

the vertex form for quadratic equations is

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

vertex form cubic function

y=a(x-h)^3 +k