Question

the function $g(x)=sqrt{x - 4}+2$ is a transformation of the square root parent function. how can these transformations be described? use the dropdown choices to correctly complete the statement. the function $g(x)$ is translated 4 units select and 2 units select from its square root parent function. select down then up selec left right

Explanation:

For a square root parent function $f(x)=\sqrt{x}$, horizontal transformations follow the form $\sqrt{x-h}$ (right shift if $h>0$, left shift if $h<0$), and vertical transformations follow the form $\sqrt{x}+k$ (up shift if $k>0$, down shift if $k<0$). For $g(x)=\sqrt{x-4}+2$, $h=4$ (right shift) and $k=2$ (up shift).

Answer:

The function $g(x)$ is translated 4 units right and 2 units up from its square root parent function.