Transformations and Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a base for transformations.

Front

What is the parent quadratic function?

Back

Front

What does a vertical stretch by a factor of k do to a function?

Back

It multiplies the output of the function by k, making the graph taller.

Front

What does a vertical shrink by a factor of k do to a function?

Back

It multiplies the output of the function by k (where 0 < k < 1), making the graph shorter.

Front

Back

It is a vertical shrink by a factor of ¼.

Front

What does a horizontal shift to the right by c units do to a function?

Back

It replaces x with (x - c) in the function.

Front

What does a vertical shift up by d units do to a function?

Back

It adds d to the function, shifting the graph upwards.

Front

Back

It is a right shift by 1 unit and an upward shift by 5 units.

Front

Back

It is a left shift by 2 units and a downward shift by 3 units.

Front

What is the general form of a quadratic function?

Back