Cubic Function Transformations

This video tutorial covers transformations of cubic functions, starting with a review of the parent function, which has a point of inflection at the origin. The tutorial explains how transformations affect the graph of cubic functions, focusing on parameters D, C, and A. Parameter D shifts the graph vertically, parameter C shifts it horizontally, and parameter A affects vertical stretch and compression. The video provides examples of these transformations and concludes with a recap of their effects on the graph's shape, domain, and range.

What is the point of inflection for the parent cubic function?

• (0, 0)

• (1, 1)

• (-1, -1)

• (2, 2)

What is the domain and range of the parent cubic function?

• All real numbers

• Positive numbers only

• Integers only

• Negative numbers only

What happens to the graph of a cubic function when parameter D is increased?

• Compresses vertically

• Shifts down

• Shifts up

• Stretches vertically

If D is negative, how does it affect the cubic function graph?

• Reflects vertically

• Reflects horizontally

• Shifts up

• Shifts down

What does a positive C value do to the cubic function graph?

• Shifts left

• Shifts right

• Stretches vertically

• Compresses vertically

How does a negative C value affect the cubic function graph?

• Shifts right

• Shifts left

• Reflects vertically

• Reflects horizontally

What effect does a negative A value have on the cubic function graph?

• Vertical reflection

• Vertical compression

• Vertical stretch

• Horizontal reflection

If A is greater than 1, what happens to the cubic function graph?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

What happens when the absolute value of A is between 0 and 1?

• Horizontal compression

• Horizontal stretch

• Vertical stretch

• Vertical compression

What does a vertical reflection look like on a cubic function graph?

• Flipped upside down

• Shifted to the right

• Shifted to the left

• Stretched vertically