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

`y=√(9x+45)+2\\\\\implies y=√(9(x+5))+2\\\\\implies y=3√(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√(x+5)`

Next, The graph is shifted up by 2 units

`\implies y = 3√(x+5)+2`

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

The resultant graph is attached below :

Answer 2

please find the attached image