### Home > INT3 > Chapter 4 > Lesson 4.3.1 > Problem4-70

4-70.

Sketch a graph of $f(x)=|x-6|-4$.

1. Explain how you can graph this function without making a table, but by using parent graphs.

How is the graph transformed from $y=|x|$?

2. Sketch a graph of $g(x)=||x-6|-4|$. Explain how you can graph $y=g(x)$ by using your graph of $y=f(x)$.

Think about what absolute value does. This new function will take all of the points with negative $y$-values and make them positive $y$-values.