Graphing and describing a vertical transformation

The video tutorial explains how to graph transformations of a cubic function. It begins with an introduction to the basic cubic function and its graph. The instructor then demonstrates how adding a constant to the function shifts the graph vertically upwards, while subtracting a constant shifts it downwards. The tutorial emphasizes understanding the impact of these transformations on the graph's coordinates.

What is the basic shape of a cubic function graph?

• A circle

• A continuous curve crossing the origin

• A parabola

• A straight line

What happens to the graph of a cubic function when you add 7 to it?

• It remains unchanged

• It shifts 7 units to the left

• It shifts 7 units upwards

• It shifts 7 units to the right

How does adding a constant to a function affect its graph?

• It reflects the graph

• It rotates the graph

• It changes the Y-coordinates

• It changes the X-coordinates

What is the effect of subtracting 7 from a cubic function?

• The graph remains the same

• The graph shifts 7 units downwards

• The graph shifts 7 units upwards

• The graph shifts 7 units to the right

Why is it important to understand transformations in graphing functions?

• To change the function's domain

• To predict how the graph will move

• To simplify the function

• To alter the function's range