The graph of the function g(x) has the same shape and direction of opening as the graph of f(x) = 3(x-2)^2 +9. The graph of g(X) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). 

a. Determine an equation of the function g(x) 

 

b. State the domain and range of g(x) 

Domain:

Range:

c. Write another function h(x) with the same vertex and shape, but whose graph opens in the opposite direction.