Understanding Stretch Factors and Transformations

The video tutorial explains the concept of horizontal stretch applied to the graph of y = x^3. It introduces the idea of a horizontal stretch, applies it to the function, and calculates the stretch factor using a given point. The tutorial concludes by solving for the value of B, determining the stretch factor, and explaining the transformation's effect on the graph.

What is the initial function discussed in the video?

• y = x^5

• y = x^4

• y = x^3

• y = x^2

What does introducing a 'b' value in the equation signify?

• A translation

• A reflection

• A horizontal stretch

• A vertical stretch

In the context of the video, what does the equation y = BX^3 represent?

• A translation

• A reflection

• A horizontal stretch

• A vertical stretch

What is the relationship between the stretch factor and the 'b' value?

• Stretch factor is b^3

• Stretch factor is b

• Stretch factor is 1/b

• Stretch factor is b^2

If the stretch factor is B, what appears in the equation?

• B^2

• 1/B

• B^3

• B

What point does the transformed graph pass through?

• (4, 16)

• (5, 25)

• (3, 27)

• (2, 64)

What is the y-coordinate of the point on the transformed graph?

• 64

• 32

• 16

• 8

What is the x-coordinate of the point on the transformed graph?

• 1

• 4

• 2

• 3

What operation is performed to solve for the stretch factor?

• Fifth root

• Fourth root

• Cube root

• Square root

What is the final calculated value of B?

• 12

• 4

• 2

• 1/2