Parent Functions - Transformations - Piecewise-Applicaitons

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 is a transformation in mathematics?

Back

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

Front

What does it mean to shift a graph to the right?

Back

Shifting a graph to the right means adding a positive value to the input variable (x) in the function.

Front

What is the absolute value function?

Back

Front

How do you represent a vertical stretch of a function?

Back

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a specific interval of the domain.

Front

How do you identify a square root function?

Back

Front

Back

This notation represents a piecewise function where the output is determined by the value of x in relation to 4.

Front

What is the effect of a negative sign in front of a function?

Back

A negative sign in front of a function reflects the graph across the x-axis.

Front

What is the cube root function?

Back