Consider the function 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 one 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 units to the left of the graph of f(x).

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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