Graph the function.
\[
f(x)=2 \sqrt{x+4}
\]
Plot four points on the graph of the function: the leftmost point and three additional points. Then click on the graph-a-function button.
Answer
\(\boxed{\text{Final Answer: The graph of the function } f(x)=2 \sqrt{x+4} \text{ is plotted with the points } (-4, 0), (-3, 2), (-2, 2.83), \text{ and } (0, 4) \text{ highlighted. The function is a square root function that has been shifted 4 units to the left and vertically stretched by a factor of 2. The graph starts at the point } (-4, 0) \text{ and increases as } x \text{ increases.}}\)
Step 1 ：First, understand the function \(f(x)=2 \sqrt{x+4}\). This is a square root function that has been shifted 4 units to the left and vertically stretched by a factor of 2.
Step 2 ：Next, choose values for x and calculate the corresponding y values. Since the function is defined for \(x \geq -4\), we can choose \(x = -4, -3, -2, 0\) as our points.
Step 3 ：Calculate the corresponding y values for each x value. The points are \((-4, 0)\), \((-3, 2)\), \((-2, 2.83)\), and \((0, 4)\).
Step 4 ：Plot these points on the graph of the function.
Step 5 ：\(\boxed{\text{Final Answer: The graph of the function } f(x)=2 \sqrt{x+4} \text{ is plotted with the points } (-4, 0), (-3, 2), (-2, 2.83), \text{ and } (0, 4) \text{ highlighted. The function is a square root function that has been shifted 4 units to the left and vertically stretched by a factor of 2. The graph starts at the point } (-4, 0) \text{ and increases as } x \text{ increases.}}\)
