# Visualizing Absolute Value Functions with Questions

- Author:
- MsDuffey, Steve Phelps

- Topic:
- Functions

## Changing the a value.

What happens to your graph when you change the a value (anything except for 0)? Describe all the changes you see.

## Changing the h value of the function.

How does the graph change when you change the h value of the function? Describe all the changes that you see.

## Changing the k value of the function.

How does the graph change when you change the k value of the function? Describe all the changes that you see.

## Absolute value equation.

Which of the following would best show a general function rule that would apply to all absolute value functions (using the values a, h, and k)? HINT: look at what changes in the equation above when you change each value.

## Finding x values.

## Finding x values.

Reset the graph to have an a value of one and an h and k value of 0. This is the parent function y =l xl. Use the horizontal line (the green line) to find the following values: a) find x if f(x) = 4 b) find x if f(x) = -2 c) find x if f(x) = 0 d) find x if f(x) = 1.5

## What does an absolute value graph look like.

What do you think an absolute value graph must look like with any a, h, and k value (except a = 0)?