Question

use translations to graph the given function.\\( g(x) = sqrt{x + 1} - 3 \\)\
part 1 of 4\
the parent function for \\( g(x) = sqrt{x + 1} - 3 \\) is \\( f(x) = sqrt{x} \\).\
part: 1 / 4\
part 2 of 4\
the graph of \\( g \\) is the graph of \\( f \\) shifted 1 units select and 3 units select

Explanation:

Step1: Identify horizontal shift

For a function $g(x)=f(x+h)$, if $h>0$, the graph shifts left $h$ units. Here $g(x)=\sqrt{x+1}-3 = f(x+1)-3$, so $h=1$.

Step2: Identify vertical shift

For a function $g(x)=f(x)-k$, if $k>0$, the graph shifts down $k$ units. Here $g(x)=f(x+1)-3$, so $k=3$.

Answer:

1. Left
2. Down