Answer:
[tex]y=-\sqrt[]{x-9}-2[/tex]
Step-by-step explanation:
The graph of the given function is given as:
Therefore, if we use rules for function transformations:
-f(x) reflects about x-axis
f(x)-d vertical translation down ''d'' units
f(x-c) horizontal translation to the right ''c'' units.
Then, the function that represents the transformation reflected about the x-axis shifted down 2 units and 9 units to the right;
[tex]\begin{gathered} \text{ Original function:} \\ y=\sqrt[]{x} \\ \text{ Transformated:} \\ y=-\sqrt[]{x-9}-2 \end{gathered}[/tex]
