linear
y=x
quadratic
y=x^2
rational
y=1/x
logarithmic
y=log(x)
radical
y= square root of x
absolute value
y=|x|
cubic
y=x^3
f(x)+b
up by b
f(x)-b
down by b
af(x) a>1
vertical stretch by a
af(x) 0<a<1
vertical shrink by a
f(-x)
reflection over y-axis
-f(x)
reflection over x-axis
f(x+b)
left by b
f(x-b)
right by b
f(ax) a>1
horizontal shrink
f(ax) 0<a<1
horizontal stretch
exponential
y=b^x