Understanding Vertical Stretch and Compression

The video tutorial explains how to determine vertical stretch or compression in transformations of functions. It introduces the concept of transformations using G(x) = A * F(Bx) and focuses on identifying the values of A and B by analyzing coordinates of key points. Two examples are provided: one demonstrating a vertical stretch with A=3, and another showing vertical compression and reflection with A=-1/2. The tutorial emphasizes that changes in Y coordinates indicate vertical transformations, while unchanged X coordinates suggest no horizontal transformations.

What is the primary indication that a function has undergone a vertical stretch or compression?

• No change in coordinates

• Change in both x and y-coordinates

• Change in y-coordinates

• Change in x-coordinates

If the x-coordinates remain unchanged, what can be inferred about the value of 'B'?

• B is greater than 1

• B is less than 1

• B is equal to 1

• B is zero

What happens to the graph of a function when 'A' is greater than 1?

• The graph is reflected across the x-axis

• The graph is shifted horizontally

• The graph is stretched vertically

• The graph is compressed vertically

How do you determine the new y-coordinates when a function undergoes a vertical stretch?

• Divide each y-coordinate by 'A'

• Multiply each y-coordinate by 'A'

• Subtract 'A' from each y-coordinate

• Add 'A' to each y-coordinate

In the first example, what is the value of 'A' when the y-coordinates are multiplied by 3?

• 4

• 2

• 3

• 1

What is indicated by a change in the sign of y-coordinates in the second example?

• Vertical compression

• Horizontal stretch

• Vertical stretch

• Reflection across the x-axis

In the second example, what is the value of 'A' when the y-coordinates are multiplied by -1/2?

• -1

• 1/2

• 1

• -1/2

What does a negative value of 'A' indicate about the transformation of the function?

• Vertical compression

• Vertical stretch

• Horizontal compression

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

If 'B' is equal to 1, what does this imply about the transformation?

• There is a horizontal compression

• There is no horizontal transformation

• There is a vertical reflection

• There is a horizontal stretch

What is the effect on the graph when 'A' is less than zero?

• The graph is shifted vertically

• The graph is reflected across the x-axis

• The graph is compressed vertically

• The graph is stretched vertically