Use the facts and graph below to write the equation for g(x). FACTS:

- this graph shows g(x).

- it looks like the graph of the parent function f(x)=|x|.

However:

- it has been vertically stretched by a factor of 2.

- it has been reflected (flipped) over the x-axis.

- it has been shifted down 3 units.

- it has been shifted right 1 unit.

Step 1: start with the equation f(x)= |x|. Write the equation for the graph of g(x) that has been stretched vertically by a factor or 2.

Step 2: use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been reflected, or flipped, over the x-axis.

Step 3: use the equation your wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted down 3 units.

Step 4: use the equation you wrote in step 3. Write the equation for the graph of g(x) that has also been shifted right 1 unit.