2.5 Question 28 (extraneous)

[Eigenvalue]

Precalculus
Michael Sullivan
Edition 4
Chapter 2, Section 2.5

Find the function that is finally graphed after the following transformations are applied to the graph of y=√x

1. Reflect about the x-axis
2. Shift right 3 units
3. Shift down 2 units

[Eigenvalue]

Here is my work for the question

[nycmath]

Here is my work for the question

Why include all the extra functions when the main question is about y = [tex]\sqrt{x}[/tex]?