Exploring Function Transformations

The video tutorial covers the transformation of functions, including vertical and horizontal transformations, reflections, and shrink/stretch transformations. It explains how these transformations affect the size, shape, orientation, and placement of functions. The tutorial also provides graphical examples and discusses function notation to help understand these concepts.

What does a transformation of a function change?

• Size, shape, orientation, or placement

• Only the orientation

• Only the shape

• Only the size

What happens to a function when you add a constant k to the outside of the function?

• It moves up

• It moves right

• It moves down

• It moves left

In horizontal translations, what happens when you subtract a constant h from x?

• The function moves left

• The function moves right

• The function moves up

• The function moves down

What is the result of multiplying a function by a negative number?

• It moves up

• It reflects over the y-axis

• It moves down

• It reflects over the x-axis

Where do vertical transformations occur in the function notation?

• Outside the function

• Inside the absolute value

• Inside the function

• Inside the parentheses

What does a vertical stretch factor greater than 1 do to a function?

• Stretches it away from the y-axis

• Shrinks it towards the x-axis

• Stretches it away from the x-axis

• Shrinks it towards the y-axis

What is the effect of a horizontal shrink factor between 0 and 1?

• Shrinks it towards the y-axis

• Stretches it away from the y-axis

• Shrinks it towards the x-axis

• Stretches it away from the x-axis

How can you determine if a transformation is a horizontal shrink or stretch?

• By looking at the number outside the function

• By looking at the absolute value of the number inside the function

• By looking at the absolute value of the number outside the function

• By looking at the number inside the function

What does the equation f(x) + 2 represent?

• A vertical translation up

• A vertical translation down

• A horizontal translation to the right

• A horizontal translation to the left

If the function f(x) is multiplied by 2, what type of transformation occurs?

• Horizontal shrink

• Vertical shrink

• Horizontal stretch

• Vertical stretch