What transformations are between fx and gx cubic functions

The video tutorial explains how to transform functions, focusing on multiplication and its effects on graphs. It covers vertical compression using a factor of 2/3 and clarifies the difference between compression and stretching. The tutorial also discusses shifting graphs horizontally and vertically using addition and subtraction, emphasizing the importance of understanding these transformations algebraically.

What operation is primarily used to transform from f(x) to g(x) in the first section?

• Addition

• Subtraction

• Division

• Multiplication

If you multiply a function by 2/3, what type of transformation occurs?

• Vertical Compression

• Vertical Stretch

• Horizontal Stretch

• Horizontal Compression

Which of the following indicates a vertical stretch?

• A factor equal to 1

• A factor of 0

• A factor greater than 1

• A factor less than 1

How do you shift a graph to the left by 4 units?

• Add 4 to the x-values

• Subtract 4 from the x-values

• Subtract 4 from the y-values

• Add 4 to the y-values

To move a graph from -1 to 2 on the y-axis, what transformation is needed?

• Shift down 3

• Shift up 3

• Shift right 3

• Shift left 3