Lesson 7.1 Part 2: Transformations of Cube Root Functions

Front

What is a cube root function?

Back

A cube root function is a function of the form f(x) = ∛x, which returns the number that, when cubed, gives x.

Front

What is the parent function of cube root functions?

Back

The parent function of cube root functions is f(x) = ∛x.

Front

What does a vertical shift of a function do?

Back

A vertical shift moves the graph of the function up or down without changing its shape.

Front

What does a horizontal shift of a function do?

Back

A horizontal shift moves the graph of the function left or right without changing its shape.

Front

What is a vertical compression?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor less than 1, making the graph flatter.

Front

What is a vertical stretch?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

How does a horizontal compression affect a function?

Back

A horizontal compression occurs when the input values of a function are multiplied by a factor greater than 1, making the graph narrower.

Front

How does a horizontal stretch affect a function?

Back

A horizontal stretch occurs when the input values of a function are multiplied by a factor less than 1, making the graph wider.

Front

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

Back

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

Front

What does the notation f(x) = ∛(x - 3) + 2 represent?

Back

This notation represents a cube root function that is shifted 3 units to the right and 2 units up from the parent function.