Which of the following accurately compares the functions, f(x)=3x^2 and g(x)=1/4(3(x+4))^2+6? a. vertically compressed, shifted to the right 4 units, and shifted up 6 units b. vertically stretched, shifted to the right 6 units, and shifted up 4 units c. vertically stretched, shifted to the right 4 units, and shifted up 6 units d. vertically compressed, shifted to the left 4 units, and shifted up 6 units

7.(03.01 lc)which set represents the range of the function shown? {(-1, 5), (2,8), (5, 3), 13, -4)} (5 points){-1, 2, 5, 13){(5, -1), (8, 2), (3,5), (-4, 13)){-4, 3, 5, 8}{-4, -1, 2, 3, 5, 5, 8, 13}

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Type the correct answer in each box. spell all the words correctly, and use numerals instead of words for numbers. if necessary, use / for the fraction bar(s).