Transformations of Functions

Anil Kumar explains the transformation of polynomial functions, focusing on cubic functions. The video covers vertical and horizontal stretches, compressions, and translations. It demonstrates how to graph a transformed function using key points and provides a step-by-step guide to plotting transformed points. The video concludes with a review of the concepts and encourages students to practice these transformations.

What is the initial function that is being transformed in the video?

• y = x^4

• y = x^3

• y = x^5

• y = x^2

Which of the following is NOT a type of transformation discussed in the video?

• Vertical stretch

• Horizontal reflection

• Horizontal stretch

• Vertical translation

What is the correct factor for horizontal stretch in the transformation discussed?

• 3

• 1

• 2

• 1/2

How many units is the function horizontally translated to the right?

• 3 units

• 2 units

• 1 unit

• 4 units

What is the vertical translation applied to the function?

• 1 unit up

• 2 units up

• 1 unit down

• 2 units down

Which key point is used to start plotting the transformed function?

• (1, 1)

• (-1, -1)

• (0, 0)

• (2, 8)

What is the transformed y-coordinate for the point (2, 8) after applying the transformations?

• 3

• 4

• 5

• 6

What is the final step in sketching the transformed function?

• Factoring the function

• Identifying key points

• Connecting the plotted points

• Calculating new points

What is emphasized as important for understanding transformations?

• Only algebraic methods

• Only graphical methods

• Neither graphical nor algebraic methods

• Both graphical and algebraic methods

What should you do if you want to practice transformations further?

• Try different functions

• Both review the video and try different functions

• Review the video

• Ignore the video