The function you need to graph is:

$y = 4 \sqrt{x}$

This is a square root function that involves scaling the square root by a factor of 4. To graph it correctly, let's start by identifying a few key points to plot:

1. Starting point (endpoint): The square root function $y = \sqrt{x}$ is defined for $x \geq 0$, so the endpoint is at $(0, 0)$, because $y = 4 \sqrt{0} = 0$.

2. Other points:

   • When $x = 1$, $y = 4 \sqrt{1} = 4$.
   • When $x = 4$, $y = 4 \sqrt{4} = 8$.
   • When $x = 9$, $y = 4 \sqrt{9} = 12$ (this would be off the graph, but is useful for visualization).

Key Points to Plot:

• $(0, 0)$ (the endpoint)
• $(1, 4)$
• $(4, 8)$

Once you plot these points, you can draw a smooth curve passing through them to represent the graph of $y = 4 \sqrt{x}$. This function increases slowly at first and then more rapidly as $x$ increases.

Let me know if you'd like more help or further clarification.

Do you have any questions or would you like additional details?
Here are 5 related questions you might want to explore:

1. How does the coefficient in front of the square root function affect the graph?
2. What would happen if the equation had a negative square root?
3. How does the graph of $y = \sqrt{x}$ compare to $y = 4\sqrt{x}$?
4. What is the domain and range of the function $y = 4 \sqrt{x}$?
5. How would you transform the graph if the equation was $y = 4 \sqrt{x-2} + 3$?

Tip: For square root functions, the graph is always restricted to values where $x \geq 0$, since the square root of negative numbers is not defined in real numbers.