Cubic and Cube Root Functions Activity For Exemplar Lesson

Front

What is a cubic function?

Back

A cubic function is a polynomial function of degree three, typically expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What is the parent function of cubic functions?

Back

The parent function of cubic functions is f(x) = x^3.

Front

What does it mean to vertically stretch a function?

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

What does it mean to vertically compress a function?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

What is a cube root function?

Back

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

Front

What transformation is represented by 'translation up 6'?

Back

Translation up 6 means shifting the entire graph of the function 6 units upwards on the y-axis.

Front

What transformation is represented by 'translation down 2'?

Back

Translation down 2 means shifting the entire graph of the function 2 units downwards on the y-axis.

Front

How does reflecting a graph over the x-axis affect the function?

Back

Reflecting a graph over the x-axis changes the sign of the output values, resulting in a vertical flip of the graph.

Front

How does reflecting a graph over the y-axis affect the function?

Back

Reflecting a graph over the y-axis changes the sign of the input values, resulting in a horizontal flip of the graph.

Front

What is the effect of a horizontal compression by a factor of 2?

Back

A horizontal compression by a factor of 2 means that the graph is squeezed towards the y-axis, making it narrower.