ANSWER
right 2, up 3
EXPLANATION
The given function is
[tex]f(x) = \sqrt{x - 2} + 3[/tex]
The parent function is
[tex]f(x) = \sqrt{x} [/tex]
The given transformation is of the form
[tex]f(x) = \sqrt{x - b} + c[/tex]
This is a shift to the right, b units and an upward shift of c units.
Therefore,
[tex]f(x) = \sqrt{x - 2} + 3[/tex]
is obtained by shift the parent function , 2 units to the right and 3 units up.
The last option is correct.
