How to find the horizontal and vertical compressions, stretches of multiple functions

The video tutorial explains the difference between multiplying inside and outside of functions, focusing on how these operations affect the function's graph. It covers vertical and horizontal transformations, including stretches and compressions, and provides examples to illustrate these concepts. The tutorial concludes with a summary of the rules and an invitation for questions.

What happens to a function when you multiply by a number outside the function and the absolute value of that number is greater than one?

• It results in a vertical stretch.

• It results in a horizontal stretch.

• It results in a horizontal compression.

• It results in a vertical compression.

If a function is multiplied by a number inside and the number is greater than one, what type of transformation occurs?

• Horizontal stretch

• Vertical stretch

• Horizontal compression

• Vertical compression

When multiplying inside a function and the multiplier is less than one, what transformation is observed?

• Vertical stretch

• Vertical compression

• Horizontal compression

• Horizontal stretch

What is the effect of multiplying a function by a number outside when the number is less than one?

• Vertical compression

• Horizontal compression

• Horizontal stretch

• Vertical stretch

In the context of function transformations, what does it mean if the parent function remains unchanged?

• Multiplication is happening inside the function.

• Multiplication is happening outside the function.

• The function is being added to a constant.

• The function is being divided by a constant.