Question

use translations to graph the given function.
$g(x) = \sqrt{x + 1} - 3$
part: 0 / 4
part 1 of 4
the parent function for $g(x) = \sqrt{x + 1} - 3$ is select.

Explanation:

Step1: Identify parent square root function

The simplest square root function is the parent function for transformed square root functions.
<Expression>
$f(x) = \sqrt{x}$
</Expression>

Step2: Verify transformation match

The given function $g(x)=\sqrt{x+1}-3$ is a transformed version of the basic square root function, with horizontal and vertical shifts applied to the parent $\sqrt{x}$.

Answer:

$f(x) = \sqrt{x}$