The function you're asking to graph is $g(x) = \sqrt{x + 5}$.

To understand the graph of this function, we can break it down in terms of transformations from the basic square root function $f(x) = \sqrt{x}$. Here's how this transformation works:

Steps to Graph:

1. Start with the basic graph of $f(x) = \sqrt{x}$:

   • The graph of $f(x) = \sqrt{x}$ starts at the point $(0, 0)$ and increases slowly as $x$ increases.

2. Apply the translation:

   • The expression $\sqrt{x + 5}$ indicates a left shift by 5 units.
   • To see this more clearly: $g(x) = \sqrt{x + 5}$ is equivalent to $f(x) = \sqrt{x}$, but with the input shifted 5 units to the left. So, instead of starting at $(0, 0)$, the graph of $g(x)$ will start at $(-5, 0)$.

3. Behavior of the graph:

   • For $g(x) = \sqrt{x + 5}$, the domain is $x \geq -5$, since the square root function is only defined for non-negative values inside the radical.

Important Points:

• The graph starts at $(-5, 0)$.
• The graph follows the shape of the basic square root curve but is shifted left by 5 units.

Now, I’ll summarize:

• The general shape is still a curve that increases as $x$ increases.
• The graph has no values for $x < -5$.

Would you like me to generate a visual graph of this function?