Use transformations to graph the function. \[ q(x)=3 \sqrt{x+5}+4 \]

Step 1 ：The function given is a transformation of the basic square root function, which is \(y = \sqrt{x}\).

Step 2 ：The '+5' inside the square root shifts the graph 5 units to the left.

Step 3 ：The '3' outside the square root stretches the graph vertically by a factor of 3.

Step 4 ：The '+4' outside the square root shifts the graph 4 units up.

Step 5 ：We can use these transformations to graph the function.

Step 6 ：The graph of the function \(q(x)=3 \sqrt{x+5}+4\) is a transformation of the basic square root function. It is shifted 5 units to the left, stretched vertically by a factor of 3, and shifted 4 units up.