Transformation of a Parent Function

Question

What is the equation g(x) for a parent function f(x) with the following transformations?

1. Reflected
2. Shifted up 6

Answer 1

Generally, whenever a graph is reflected there is a negative sign on the outside of the parenthesis to show this. For a graph to be shifted up 6, there would need to be some form of addition to the function. An example of this scenario would

g(x) = -x^2 + 6