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.