Use the function f(x) = x2 − 6x + 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 3 6 12 18 Question 3(Multiple Choice Worth 1 points) (08.05 LC) Describe the change in the graph of the parabola f(x) when it transforms into g(x) = −3f(x). The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x). The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x). The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x). The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x). Question 4(Multiple Choice Worth 1 points) (08.05 MC) Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 12x + 36 In which direction and by how many units should f(x) be shifted to obtain g(x)? Left by 18 units Right by 18 units Left by 6 units Right by 6 units Question 5(Multiple Choice Worth 1 points) (08.05 LC) Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value. two parabolas open up with f of x passing through 8 comma 6 and g of x passing through 2 comma 6 k = −4 k = negative one fourth k = one fourth k = 4 Question 6(Multiple Choice Worth 1 points) (08.05 MC) Two quadratic functions are shown: Function 1: Function 2: f(x) = 2x2 − 8x + 1 x g(x) −2 2 −1 −3 0 2 1 17 Which function has the lowest minimum value, and what are its coordinates? Function 1 has the lowest minimum value, and its coordinates are (0, 1). Function 1 has the lowest minimum value, and its coordinates are (2, −7). Function 2 has the lowest minimum value, and its coordinates are (0, 2). Function 2 has the lowest minimum value, and its coordinates are (−1, −3). Question 7(Multiple Choice Worth 1 points) (08.05 MC) The function f(x) = x2 + 6x + 3 is transformed suc