Given Transformations, write the equation of the function

The video tutorial explains how to apply transformations to functions, including shifts, reflections, and compressions. It emphasizes the importance of understanding the placement of transformations inside or outside the function, using parentheses correctly, and simplifying expressions. The tutorial covers transformations for quadratic, exponential, and trigonometric functions, providing examples to illustrate these concepts.

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

• Subtract 4 from the function

• Multiply the function by 4

• Add 4 to the function

• Divide the function by 4

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

• Subtract 3 outside the function

• Subtract 3 inside the function

• Add 3 inside the function

• Add 3 outside the function

How is the transformation of an exponential function different from a quadratic function?

• The exponential function is not transformed

• The base of the exponential function is transformed

• The power of the exponential function is transformed

• The coefficient of the exponential function is transformed

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

• Divide the output by 2

• Multiply the output by 2

When reflecting a function about the X-axis, where is the negative sign placed?

• In front of the output

• In front of the input

• Outside the function

• Inside the function