Write the equation of the cube root function given transformations

The video tutorial covers cube roots and function transformations. It begins with an introduction to the parent function and the concept of transformations. The teacher explains how to identify and apply transformations such as vertical compression, horizontal shifts, and vertical shifts. The process of writing the function with these transformations is demonstrated, emphasizing understanding and checking the work. The lesson concludes with a summary and a note on how similar questions might appear in quizzes.

What is the role of 'a' in the transformation of the cube root function?

• Horizontal shift

• Vertical compression

• Horizontal stretch

• Vertical shift

How do you represent a shift of 2 units to the left in the function?

• X / 2

• X * 2

• X + 2

• X - 2

If a function is shifted 3 units down, how is it represented?

• Add 3 outside the function

• Subtract 3 inside the function

• Subtract 3 outside the function

• Add 3 inside the function

What does a vertical compression of 1/4 indicate in the transformation?

• The graph is shifted vertically

• The graph is compressed vertically

• The graph is stretched vertically

• The graph is shifted horizontally

How can you verify if the transformations applied to a function are correct?

• By checking the graph visually

• By ensuring all transformations are listed

• By recalculating the function values

• By comparing with the original function