Question 2 (9 points) Given the function f(x) = 2x2 7x + 3, determine: Show all steps to receive process marks. a) \"2) (2 marks) b) f(a; + 1) f(a) (3 marks) c) The value(s) for x for which f(x) = 0 (4 marks) Question 3 (4 points) a) Determine the inverse of the function f(x) = 3x2 + 2. (3 marks) Show all steps to receive process marks. b) Is the inverse a function? (1 mark) Question 4 (2 points) The graph of y : x2 is stretched vertically by a factor of 5, reflected in the x-axis, shifted right 3 and 2 units up. Write an equation for the transformed graph. (2 marks) Question 7 (5 points) Mr. Haseeb has 28 m of fencing to make a rectangular pen for his dog. See diagram below. a) Express the area of the dog pen as a function of its width. Show all work. (3 marks) b) Determine the domain and range of the area function. (2 marks) L Question 10 (2 points) The point (2,4) on the parabola y = x2 becomes the point (5,10) on a new vertically stretched parabola which has been horizontally shifted. State the equation of the new parabola. (2 marks) Question 8 (6 points) List the transformations (and in the correct order) that you would apply to f(x) = \\Eto obtain g(x) = 2 (x 3 4. (6 marks) Question 9 (4 points) A quadratic function has the equation f(x) = x2 + 3x - 18. Determine the x-intercepts (in coordinate form) for each function. (4 marks) a) y = f (3x) b ) y = f (x)