Transformations of Functions

This video tutorial covers transformations of parent functions, focusing on the roles of variables A, B, C, and D. It explains how A and B affect vertical and horizontal stretches and compressions, while C and D influence horizontal and vertical shifts. The tutorial includes examples and practice questions to reinforce understanding of these transformations.

What does the variable 'a' affect in a function?

• Horizontal stretch or compression

• Horizontal translation

• Vertical stretch or compression

• Reflection over the y-axis

If the absolute value of 'a' is greater than 1, what transformation occurs?

• Vertical compression

• Horizontal stretch

• Vertical stretch

• Reflection over the x-axis

What happens when 'a' is negative?

• The graph stretches vertically

• The graph reflects over the x-axis

• The graph compresses horizontally

• The graph reflects over the y-axis

Where is the variable 'b' located in a function?

• Inside the parentheses after X

• After the function

• Inside the parentheses in front of X

• In front of the function

What transformation does a negative 'b' cause?

• Vertical stretch

• Reflection over the y-axis

• Horizontal compression

• Reflection over the x-axis

If the absolute value of 'b' is between 0 and 1, what transformation occurs?

• Horizontal stretch

• Vertical compression

• Vertical stretch

• Horizontal compression

In the first example, what does a value greater than 1 indicate?

• Vertical stretch

• Reflection over the y-axis

• Horizontal stretch

• Vertical compression

In the second example, what does a negative 'b' value cause?

• Horizontal compression

• Reflection over the x-axis

• Vertical stretch

• Reflection over the y-axis

What does the variable 'c' affect in a function?

• Vertical stretch

• Horizontal translation

• Horizontal stretch

• Vertical translation

What does a positive 'd' value cause?

• The graph shifts right

• The graph shifts left

• The graph shifts down

• The graph shifts up