Step-by-step explanation: If 6 pounds multiplied by 5 dollars equals 30 dollars, Latoya must buy more than 6 pounds to go over 30 dollars. However, there are an indefinite amount of numbers that are over 6, so the simplest way to represent this answer is "x > 6".
Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).