Consider the functions f(x)=(x-5)^2+2 and g(x)=(x+6)^2-4. which of the following statements is true?
a: the graph of g(x) is shifted 2 units below and one unit to the right of the graph of f(x).
b: the graph of g(x) is shifted 1 unit above and 2 units to the right of the graph of f(x).
c: the graph of g(x) is shifted 6 units below and 11 units to the left of the graph of f(x).
d: the graph of g(x) is shifted 11 units above and 6 unit to the left of the graph of f(x).