Answer:
(1) We have been given a function: [tex]y=\sqrt{9x}+45-2[/tex]
We can rewrite it using translation is:
It is the graph of [tex]y=\sqrt{9x}[/tex] translated 45 units left and 2 units down.
(2) Now, [tex]y=\sqrt{x}-5-2[/tex]
So this is the graph of [tex]y=\sqrt{x}[/tex] translated 5 units right and 2 units down.
(3) [tex]y=\sqrt{x}+5-2[/tex]
So, this is the graph of [tex]y=\sqrt{x}[/tex] translated 5 units left and 2 units down.
(4) [tex]y=\sqrt[3]{x}+5-2[/tex]
It is the graph of [tex]y=\sqrt[3]{x}[/tex]
translated 5 units left and 2 units down.
(5) [tex]y=\sqrt[3]{x}+5-2[/tex]
It is the graph of [tex]y=\sqrt[3]{x}[/tex]
translated 5 units left and 2 units down.
