Transformations of Functions

The video tutorial explains how to transform functions, focusing on multiplication and compression. It covers vertical compression, using examples to illustrate the concept. The tutorial also discusses horizontal shifts, detailing how to move graphs left or right by adding or subtracting values.

What is the primary focus when transforming functions?

• Preserving the shape of the graph

• Preserving the operation

• Changing the function type

• Increasing the function's range

How do you transform a function using multiplication?

• By adding a constant

• By subtracting a constant

• By multiplying or dividing

• By changing the variable

What is the result of multiplying a function by a fraction less than one?

• Horizontal compression

• Horizontal stretch

• Vertical compression

• Vertical stretch

If you switch from multiplying by 2 to 3, what transformation occurs?

• Vertical compression

• Vertical stretch

• Horizontal shift

• No transformation

What operation is used to achieve a vertical stretch?

• Adding a constant

• Subtracting a constant

• Multiplying by a number greater than one

• Multiplying by a number less than one

What is the effect of a vertical compression?

• The graph becomes taller

• The graph becomes wider

• The graph becomes shorter

• The graph becomes narrower

What is the effect of multiplying by a number greater than one?

• Vertical stretch

• Vertical compression

• Horizontal compression

• Horizontal stretch

What happens when you multiply a function by 3/2?

• Vertical compression

• No change

• Vertical stretch

• Horizontal shift

How do you perform a horizontal transformation?

• By multiplying

• By dividing

• By adding or subtracting

• By changing the variable

How do you achieve a horizontal shift to the right?

• Add a positive constant

• Subtract a positive constant

• Multiply by a fraction

• Divide by a fraction