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.

What is the maximum height the balloon reaches according to the function provided?

• 400 feet

• 450 feet

• 500 feet

• 550 feet

What is the absolute value of -5?

• 10

• 0

• -5

• 5

Which of the following is true about the domain of the absolute value function?

• It includes only integers.

• It includes only positive numbers.

• It includes only negative numbers.

• It includes all real numbers.

What shape does the graph of an absolute value function form?

• A V shape

• A parabola

• A circle

• A straight line

What effect does multiplying the absolute value function by a negative number have?

• It shifts the graph to the right.

• It reflects the graph over the x-axis.

• It stretches the graph vertically.

• It compresses the graph horizontally.

How many seconds does it take for the balloon to reach its maximum height?

• 5 seconds

• 10 seconds

• 15 seconds

• 20 seconds

What is the range of the balloon's height during the ride?

• 0 to 550 feet

• 0 to 500 feet

• 0 to 450 feet

• 0 to 400 feet