### Home > A2C > Chapter 12 > Lesson 12.5.2 > Problem12-214

12-214.

Sketch the graph of $g\left(x\right) = \left(x − 2\right)^{2} −1$.

1. On the same set of axes (in a different color) sketch the graph of $| g ( x ) | = | ( x - 2 ) ^ { 2 } - 1$.

1. On a new set of axes sketch the graph of $g ( | x | ) = ( | x | - 2 ) ^ { 2 } - 1$.

1. Describe how each of the graphs in parts (a) and (b) are related to the original graph of g(x).

Where are the graphs the same? Where are they different?