Transformations of Parent Functions and Function Notation

The video tutorial discusses transformations of parent functions using function notation. It covers vertical and horizontal transformations, including compression, stretch, and shifts. Special cases where B and C are in the same equation are addressed, requiring factoring. Practice questions are provided to reinforce understanding.

What is the purpose of writing transformations in function notation?

• To make them easier to read

• To apply them to any parent function

• To make them more complex

• To simplify the equations

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

• Horizontal compression

• Vertical compression

• Horizontal stretch

• Vertical stretch

What does a positive 'D' value indicate in a transformation?

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

What happens when the absolute value of 'a' is greater than 1?

• Horizontal stretch

• Vertical stretch

• Horizontal compression

• Vertical compression

What does a negative 'C' value inside the parentheses indicate?

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

What is the reciprocal of 2 in a horizontal transformation?

• 1/3

• 1/2

• 3

• 2

What does a negative 'B' value cause in a transformation?

• Horizontal stretch

• Reflect over the y-axis

• Reflect over the x-axis

• Vertical stretch

What must be done if both B and C values are in the same set of parentheses?

• Add them together

• Subtract them

• Factor out the B value

• Ignore the C value

What is the horizontal shift if the C value is positive 8/3?

• Down 8/3

• Right 8/3

• Up 8/3

• Left 8/3

What should you do if you have a B and C in the same equation?

• Subtract C from B

• Add B and C together

• Factor out the C value

• Factor out the B value