Find the transformations and domain and range, cubic function

The video tutorial discusses the concept of parent functions, specifically focusing on E to the X and X^3. It explains how to apply transformations such as horizontal compression and vertical shifts. The tutorial also covers the properties of the X^3 graph, emphasizing that transformations do not affect the domain and range, which remain as all real numbers.

What is the parent function discussed in the first section?

• X^2

• Sin(x)

• E^x

• Log(x)

Which parameter is responsible for horizontal compression in a transformation?

• C

• B

• D

• A

What is the effect of a constant outside the function in a transformation?

• Horizontal shift

• Vertical shift

• Vertical stretch

• Horizontal stretch

What is the parent function discussed in the final section?

• E^x

• X^3

• Log(x)

• X^2

How do transformations affect the domain and range of the X^3 function?

• They do not change either

• They change only the range

• They change only the domain

• They change both