Algebra 2: 6.1 Graphing Cubic Functions

Front

What is a cubic function?

Back

Front

What does the graph of a cubic function generally look like?

Back

The graph of a cubic function can have one or two turning points and can extend to positive or negative infinity in both directions, resembling an 'S' shape.

Front

What is the significance of the leading coefficient in a cubic function?

Back

Front

How do you identify the transformations of a cubic function from its equation?

Back

Front

What does a negative leading coefficient indicate about the graph of a cubic function?

Back

A negative leading coefficient indicates that the graph will be reflected over the x-axis.

Front

Back

Front

What is the effect of a vertical compression by a factor of 1/2 on the graph of a cubic function?

Back

A vertical compression by a factor of 1/2 makes the graph flatter, reducing the steepness of the curve.

Front

How does a horizontal shift to the left affect the graph of a cubic function?

Back

A horizontal shift to the left moves the entire graph leftward by the specified number of units.

Front

What does the term 'reflection over the x-axis' mean for a cubic function?

Back

Reflection over the x-axis means that all y-values of the function are multiplied by -1, flipping the graph upside down.

Front

Back

The graph is reflected over the x-axis, compressed vertically by a factor of 1/2, shifted left 4 units, and shifted down 1 unit.