Let $$ f(x)=\sqrt{x} $$ If $$ g(x) $$ is the graph of $$ f(x) $$ reflected across the $$ x $$-axis and then shifted down 2 units, write a formula for $$ g(x) $$. $$ g(x)=\square $$ Enter $$ \sqrt{x} $$ as $$ \operatorname{sgrt}(\mathrm{x}) $$.

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To construct the function $$ g(x) $$ based on the transformations described:

1. **Reflection across the $$ x $$-axis**: This changes $$ f(x) = \sqrt{x} $$ to $$ -\sqrt{x} $$.
2. **Shift down 2 units**: Subtract 2 from the reflected function.

Combining these, the formula for $$ g(x) $$ is:

$$
g(x) = -\operatorname{sgrt}(\mathrm{x}) - 2
$$
$$ g(x) = -\sqrt{x} - 2 $$

Let \( f(x)=\sqrt{x} \) If \( g(x) \) is the graph of \( f(x) \) reflected across the \( x \)-axis and then shifted down 2 units, write a formula for \( g(x) \). \( g(x)=\square \) Enter \( \sqrt{x} \) as \( \operatorname{sgrt}(\mathrm{x}) \).

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