Chapter 2 - Section 2.7 - Graphing Techniques - 2.7 Exercises - Page 256: 80

$y=-\sqrt{x+4}+2$.

Graph of square root function $\sqrt{x}$ is reflected across the $x$-axis, moved $4$ units left and $2$ units up to get the given graph. Reflection across $x$-axis $~\rightarrow~$ $-\sqrt{x}$ Translation $4$ units left $~\rightarrow~$ $-\sqrt{x+4}$ Translation $2$ units up $~\rightarrow~$ $-\sqrt{x+4}+2$ So, the new equation is $y=-\sqrt{x+4}+2$.