Transformations on 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 is a transformation in the context of functions?

Back

A transformation is an operation that alters the form of a graph. Common transformations include translations, reflections, stretches, and compressions.

Front

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

Back

Front

What does it mean to shift a function down?

Back

Front

How does reflecting a function vertically affect its graph?

Back

Front

What is the absolute value function?

Back

Front

How do you write the equation of a vertically reflected absolute value function?

Back

Front

What is the effect of a horizontal shift on the absolute value function?

Back

Front

What is the effect of a vertical stretch on the absolute value function?

Back

Front

How do you combine transformations on a function?

Back

To combine transformations, apply them in the order of horizontal shifts, vertical shifts, stretches/compressions, and reflections.