Transformations and Parent Functions

The video tutorial covers the concept of transforming functions, focusing on horizontal and vertical translations. It introduces the idea of families of functions, where functions share a common parent function. The tutorial explains the types of transformations, specifically translations, and provides detailed explanations and examples of horizontal and vertical translations. The video also includes examples of how these translations affect the graph of a function.

What is the main focus of the video on transforming functions?

• Reflections

• Stretches and shrinks

• Horizontal and vertical translations

• All types of transformations

What is a family of functions?

• Functions that are identical

• Functions that are unrelated

• Functions with a common parent function

• Functions with different parent functions

Which of the following is an example of a parent function?

• y = 2x - 1

• y = x + 5

• y = 3x + 2

• y = x^2

What is the parent function of the family that includes y = 3x + 2?

• y = sqrt(x)

• y = x^3

• y = x^2

• y = |x|

What is the parent function of the family that includes y = sqrt(x)?

• y = x^2

• y = x^3

• y = sqrt(x)

• y = |x|

What is the parent function of the family that includes y = |x|?

• y = x^2

• y = x^3

• y = sqrt(x)

• y = |x|

What is the parent function of the family that includes y = x^3?

• y = x^2

• y = sqrt(x)

• y = |x|

• y = x^3

What is the parent function of the family that includes y = x^3?

• y = sqrt(x)

• y = x^3

• y = |x|

• y = x^2

How many types of transformations are discussed in the video?

• Five

• Two

• Three

• Four

Which transformation involves changing the size of a function?

• Horizontal translation

• Vertical translation

• Stretch

• Reflection