# Graphs of y=f(x) and y=-f(x)

- Author:
- mathtasksproj, Carlos

## Part A

Below is the graph of , where a is the value in the slider. Change the values of a and check what happens to the graph of f(x).
What is the domain of g(x)? What is the relationship between the graphs of and ?

## Part B

Change the values of to alter the graph of . What is the natural domain of ? What is the relationship between the graphs of and ?

## Part C

Below is the graph of , what happens to the graph of f(x) as a changes?
What is the relationship between the graph of and ?

## Part D

Can you make a general conjecture regarding the graphs of and from your observations of the graphs of these pairs?