Answer
(a) reflect $f(x)$ about $x$-axis and shift up 1 unit
(a) reflect $f(x)$ about $y$-axis and shift up 1 unit
Work Step by Step
(a) We can obtain $g(x)=-\sqrt{x}+1$ by reflecting the graph of $f(x)=\sqrt{x}$ about the $x$-axis and shifting the graph up 1 unit.
(b) We can obtain $g(x)=\sqrt{-x}+1$ by reflecting the graph of $f(x)=\sqrt{x}$ about the $y$-axis and shifting the graph up 1 unit.