1.5 Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions. It serves as a reference point for transformations.

Front

What type of function is represented by the equation y = x?

Back

Identity (Linear) function.

Front

What type of function is represented by the equation y = x^2?

Back

Quadratic function.

Front

What type of function is represented by the equation y = |x|?

Back

Absolute Value function.

Front

What type of function is represented by the equation f(x) = x^3?

Back

Cubic function.

Front

What type of function is represented by the equation y = 1/x?

Back

Reciprocal function.

Front

What type of function is represented by the equation y = sqrt(x)?

Back

Square Root function.

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the graph of a cubic function like?

Back

The graph of a cubic function has an S-shape and can have one or two turning points.

Front

What is the domain of the reciprocal function y = 1/x?

Back

The domain is all real numbers except x = 0.