Chapter 10 - Radical Expressions and Equations - 10-5 Graphing Square Root Functions - Practice and Problem-Solving Exercises - Page 630: 61

a) See the blue graph below. b) $y=|x|+5$

a) The graph of $y=\sqrt{x^2}+5$ is the blue graph shown below. b) This is similar to the graph of $y=|x|$ (red graph) but shifted $5$ units up. That is, the graph of $$y=\sqrt{x^2}+5$$ is the same as the graph of $$y=|x|+5.$$