Question

Hello! I need some assistance with this homework question, pleaseQ20

Answer 1

`y=-\sqrt[]{x-9}-2`

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;

`\begin{gathered} \text{ Original function:} \\ y=\sqrt[]{x} \\ \text{ Transformated:} \\ y=-\sqrt[]{x-9}-2 \end{gathered}`