Parent Functions

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

The parent function of a cubic function is f(x) = x³.

The parent function of a linear function is f(x) = x.

The parent function of a quadratic function is f(x) = x².

The parent function of a sine function is f(x) = sin(x).

The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

The function f(x) = |x| is an absolute value function.

The parent function of an exponential function is f(x) = a^x, where a > 0.

A linear function has a constant rate of change, represented by a straight line on a graph, and can be expressed in the form f(x) = mx + b.

The parent function of a rational function is f(x) = 1/x.