Transformations of Functions: Day 2 Insights

The video tutorial by NI Pierce covers transformations of functions, focusing on vertical and horizontal stretching and compression. It explains how vertical stretching occurs when a value greater than one multiplies the function, while vertical compression happens with a value between zero and one. Horizontal stretching and compression are discussed, with examples illustrating how these transformations affect the x-values. The tutorial concludes with a recap and corrections on horizontal shifts and the use of the correct variable for transformations.

What is the effect on the y-values when a function is vertically stretched by a factor of 3?

• They are subtracted by 3

• They are divided by 3

• They are multiplied by 3

• They remain the same

In a vertical compression, what should be the range of the 'a' value?

• Equal to 1

• Greater than 1

• Between 0 and 1

• Less than 0

If a function is vertically compressed by a factor of 1/2, what happens to the y-values?

• They remain the same

• They are multiplied by 2

• They are divided by 2

• They are multiplied by 1/2

What happens to the function when the 'a' value is negative?

• It flips

• It compresses vertically

• It remains unchanged

• It stretches vertically

What is the effect on the x-values when a function is horizontally stretched by a factor of 3?

• They remain the same

• They are divided by 3

• They are multiplied by 3

• They are subtracted by 3

In a horizontal stretch, where is the 'k' value placed?

• In front of the y-values

• Outside the parentheses with x

• Inside the parentheses with x

• In front of the function

For a horizontal compression, what should be the range of the 'k' value?

• Equal to 1

• Less than 0

• Between 0 and 1

• Greater than 1

If a function is horizontally compressed by a factor of 2, what happens to the x-values?

• They are multiplied by 2

• They are divided by 2

• They remain the same

• They are multiplied by 1/2

In the horizontal shift, what happens when 'H' is greater than zero?

• It moves left

• It stretches

• It compresses

• It moves right

What should be corrected in the horizontal stretch and compression section?

• The 'x' value should be used

• The 'a' value should be used

• The 'k' value should be used

• The 'H' value should be used