Answer:
vertical stretch by a factor of 3, horizontal shift of 2 units to the right, and a vertical shift 5 units up.
Step-by-step explanation:
The parent function is
[tex]f(x) = \sqrt{x} [/tex]
The transformed function is
[tex]g(x) = 3 \sqrt{x - 2} + 5[/tex]
This transformation is of the form
[tex]g(x) = a \cdot \: f(x + b) + c[/tex]
where a=3 is the vertical stretch by a factor of 3.
b=-2 is a horizontal shift to the right by 2 units.
c=5 is a vertical upward shift by 5 units.
