Graph Transformation

The video tutorial explains how to identify and transform the minimum point of a curve equation y = F(X). It covers the effects of transformations on X and Y coordinates and analyzes a sine graph with altered parameters. The tutorial also highlights the importance of understanding scale factors, shifts, and midpoints in graph analysis.

What happens to the x-coordinate of the minimum point when the equation y = F(x) is transformed to y = F(x - 5)?

• The x-coordinate is multiplied by 5.

• The x-coordinate remains the same.

• The x-coordinate decreases by 5.

• The x-coordinate increases by 5.

In the transformation y = 0.5F(x), what happens to the y-coordinate of the minimum point?

• It is subtracted by 0.5.

• It remains unchanged.

• It is halved.

• It is doubled.

What is the scale factor for the sine graph with a range from -1 to 3?

• 4

• 3

• 2

• 1

How much is the sine graph shifted horizontally if the equation is y = a sin(x - B) + C?

• 180 degrees to the left

• 90 degrees to the right

• 45 degrees to the left

• 90 degrees to the left

What is the value of C in the sine graph transformation if the midpoint of the range is 1?

• 0

• 1

• 2

• 3

Which value in the sine graph transformation represents the vertical shift?

• D

• C

• B

• A

What does the value of 'a' represent in the sine graph transformation?

• Horizontal shift

• Midpoint

• Vertical shift

• Scale factor