The video tutorial explains how to apply transformations to functions, including shifts, reflections, and compressions. It emphasizes the importance of distinguishing between inside and outside transformations and using parentheses correctly. Examples are provided to illustrate these concepts, focusing on how transformations affect different types of functions, such as quadratic, exponential, and trigonometric functions.

What happens to a function when it is shifted to the right by four units?

• Add 4 to the function's output

• Multiply the function's input by 4

• Divide the function's output by 4

• Subtract 4 from the function's input

In the context of function transformations, what does a vertical shift of three units imply?

• Divide the function's output by 3

• Multiply the function's input by 3

• Add 3 to the function's output

• Subtract 3 from the function's input

How is a reflection about the Y-axis represented in a function's equation?

• By adding a negative sign outside the function

• By adding a negative sign inside the function

• By multiplying the function by 2

• By dividing the function by 2

For an exponential function, where is the transformation applied?

• To the power of the exponent

• To the base of the exponent

• To the constant term of the function

• To the coefficient of the function

What is the effect of a horizontal compression by a factor of two on a function?

• Multiply the input by 2

• Divide the input by 2

• Add 2 to the input

• Subtract 2 from the input