Answer:
We have the following function: [tex]f(x) =\sqrt{x}[/tex]
We know that given a function f(x), the function g(x) = f(x+m) is exactly the same function f(x) but shifted m units to the left.
Therefore, to shift the function 12 units right we should:
[tex]f(x) =\sqrt{x}[/tex] ⇒ [tex]f(x-12) =\sqrt{x-12}[/tex]
We know that given a function f(x), the function g(x) = f(x)+m is exactly the same function f(x) but shifted m units up.
Therefore, to shift seven units down we should:
[tex]f(x) =\sqrt{x}[/tex] ⇒ [tex]f(x) =\sqrt{x}-7[/tex]