Writing the equation of a function given different transformations

The video tutorial explains how to apply transformations to functions, focusing on horizontal compression and vertical shifts. Horizontal compression involves multiplying by a number inside the function, while vertical shifts involve subtracting a number outside the function. The tutorial emphasizes understanding the placement of these transformations within the function to achieve the desired effect.

What does a horizontal compression of a function involve?

• Multiplying by a number inside the function

• Adding a number inside the function

• Subtracting a number outside the function

• Dividing by a number outside the function

What is the effect of multiplying by 5 inside a function?

• Horizontal compression

• Vertical compression

• Horizontal stretch

• Vertical stretch

If a function is moved down by 7 units, what transformation is applied?

• Add 7 outside the function

• Subtract 7 outside the function

• Subtract 7 inside the function

• Add 7 inside the function

Where should the number be placed for a vertical transformation?

• Outside the function

• Inside the function

• It doesn't matter

• Both inside and outside the function

How is a vertical transformation different from a horizontal one in terms of placement?

• Vertical is inside, horizontal is outside

• Both are outside

• Both are inside

• Horizontal is inside, vertical is outside