Graphing Absolute Value Functions Using Transformations

The video tutorial explains how to graph absolute value functions using transformations. It begins with a balloon height problem, introducing a function that models the balloon's height over time. The lesson reviews the concept of absolute value, addressing common misunderstandings. It then demonstrates graphing absolute value functions, focusing on transformations like vertical stretches and horizontal shifts. Finally, the tutorial applies these concepts to solve the balloon problem, determining the maximum height and time to reach it.

How does the graph of the absolute value function look, and what does it represent?

Describe the transformations applied to the function g(x) = -2|x + 1|.

What is the range of the function h(t) in the context of the balloon problem?