Answer
please see image
(graph of g(x) is red)
.
Work Step by Step
$f(x)=\sqrt{x}$
Using desmos.com, we graph f(x) (blue dashed graph)
By hand,
we select some values for x and make a table with
x ... f(x) as columns.
Each pair gives a point on the graph of f(x).
(In the screenshot, the table is to the left )
Plotting the points (x,f(x)) and joining them with a smooth curve, we have the graph of f(x).
Using Table 2.4, Summary of Transformations, we see that
$h(x)=\sqrt{-x+2}=f(-x+2)=f[-(x-2)]$
is obtained by
"Horizontal shifts $y=f(x-c)$
Shift the graph of $f$ to the right $c$ units. $x$ is replaced with $x-c$."
and
"Reflection about the y-axis $y=f(-x)$
Reflect the graph of $f$ about the y-axis.$x$ is replaced with $-x$. "
So,
using our table (x, f(x))
We plot the points ( $-x+2,\ f(x)$ ),
flipping the originals across the y-axis,
and then moving them to the to the right.,
Join them with a smooth curve,
(red solid line on the screenshot),
and we have the graph of h(x).
