Master How to identify the transformations from a family of functions

The video tutorial explains how to apply transformations to functions, using an arbitrary function F(x) as an example. It covers the concept of parent functions, vertical and horizontal shifts, reflections, and stretches. The tutorial provides detailed examples to illustrate how these transformations affect the graph of a function.

What is the significance of understanding the parent function in transformations?

Explain how adding a number outside the function affects the graph.

What is the difference between a vertical shift and a horizontal shift?

Describe the effect of subtracting a number inside the function on the graph.

What happens to the graph when you multiply the function by a negative number?

What does it mean when a transformation is described as a reflection over the Y-axis?

How does the absolute value of a affect the vertical stretch or compression of a function?

How do you determine the direction of a shift when adding or subtracting values in transformations?

In what way does the transformation F(X - H) differ from F(X) + K?

What is the role of the variable 'A' in the context of function transformations?