Learn how to identify horizontal and vertical shifts of multiple functions

The video tutorial covers the concept of function transformations, focusing on identifying whether changes occur inside or outside the function. It explains how adding or subtracting values affects the function's graph, leading to horizontal or vertical translations. The tutorial provides examples using various functions like cosine, exponential, and rational functions, and concludes with a brief Q&A session.

Which of the following is NOT one of the basic functions mentioned in the video?

• E to the X

• Tangent of X

• Square root of X

• Cosine of X

What happens when you add a number inside the parentheses of a function?

• It results in a horizontal translation

• It results in a reflection

• It results in a vertical translation

• The function remains unchanged

If a number is added outside the function, what type of transformation occurs?

• Compression

• Reflection

• Vertical shift

• Horizontal shift

Subtracting a number in the exponent of a function results in a shift in which direction?

• Up

• Right

• Down

• Left

What is the effect of adding a number outside the function 1/X?

• The graph shifts down

• The graph shifts up

• The graph shifts right

• The graph shifts left