Question

rewrite y= (square root all) 9x+45 (non sqrt) +2 to make it easy to graph using a translation. describe the graph

Answer 1

Please find the attached image 

Answer 2

Answer:

$y=\sqrt{9x+45}+2\\\\\implies y=\sqrt{9(x+5)}+2\\\\\implies y=3\sqrt{x+5}+ 2$

Now, Take the graph of the parent function as y = √x

Then dilate it by 3 units

⇒ y = 3√x

Next, the resultant graph is shifted 5 units to the left

$\implies y = 3\sqrt{x+5}$

Next, The graph is shifted up by 2 units

$\implies y = 3\sqrt{x+5}+2$

Thus, By doing the above translations we can get the required graph.

The resultant graph is attached below :