Parent Function Transformations

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

A transformation is an operation that moves or changes a function's graph in some way, such as shifting, reflecting, stretching, or compressing.

To translate a function means to shift its graph horizontally or vertically without changing its shape.

Translating a function to the right means adding a positive value to the input (x) of the function.

Translating a function to the left means subtracting a positive value from the input (x) of the function.

Translating a function upwards means adding a positive value to the output (y) of the function.

Translating a function downwards means subtracting a positive value from the output (y) of the function.

This equation compresses the graph of the function vertically by a factor of 1/2.

This equation translates the graph of the function f(x) upwards by 3 units.

This equation translates the graph of the function f(x) to the right by 4 units.