Final answer:
The transformations of the given functions are explained.
Step-by-step explanation:
For the function f(x) = 3(x-2)² + 6, the transformation is a vertical translation of 6 units up and a horizontal translation of 2 units to the right.
For the function g(x) = -2√(x+1) + 3, the transformation is a vertical translation of 3 units up, a horizontal translation of 1 unit to the left, and a reflection about the x-axis.
For the function n(x) = -(x-7)² - 2, the transformation is a vertical translation of 2 units down and a horizontal translation of 7 units to the right.