Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding - Page 257: 30

$y=\sqrt{-x-3}+2$

$f_{0}(x)=\sqrt{x}$ $(1)$ Shift up 2 units$\qquad...\qquad f_{1}(x)=f_{0}(x)+2=\sqrt{x}+2$ $(2)$ Reflect about the $y$ -axis$\qquad...\qquad f_{2}(x)=f_{1}(-x)=\sqrt{-x}+2$ $(3)$ Shift left 3 units$\qquad...\qquad f_{3}(x)=f_{2}(x+3)=\sqrt{-(x+3)}+2$ $y=\sqrt{-x-3}+2$