Apply Transformations to Functions

The video tutorial covers various function transformations, including cubic, exponential, trigonometric, square root, cube root, logarithmic, absolute value, reciprocal, quadratic, tangent, and identity functions. It explains how to apply vertical and horizontal shifts, stretches, and reflections, emphasizing the importance of understanding what's inside and outside the function. The tutorial also highlights the algebraic manipulation of functions and the equivalence of certain transformations in specific cases.

What is the significance of understanding transformations inside and outside of a function?

Explain how to apply a vertical stretch to a cubic function.

Describe the transformations applied to the function E to the power of X.

How do you rewrite the sine function with transformations?

How do horizontal shifts affect the graph of a function?

What is the effect of a vertical shift on the graph of a function?

What does a negative multiplication outside a function indicate?

How do you identify the transformations in a logarithmic function?

What transformations are applied to the absolute value function in the example?

Explain the relationship between horizontal and vertical transformations.