What are the characteristics of some of the basic parent functions?

Basic parent functions are the simplest forms of functions from which more complex functions can be derived. They include linear functions (y = x), which have a constant rate of change and a straight line graph; quadratic functions (y = x²), which produce a parabolic curve; absolute value functions (y = |x|), characterized by a V-shaped graph; and exponential functions (y = a^x), which exhibit rapid growth or decay. Each parent function has distinct characteristics, such as symmetry, intercepts, and end behavior, that define its shape and behavior on a graph.