Question 1 (5 marks) Show and explain your work. Draw box(es) around your final answer(s). Use algebraic methods unless otherwise stated. The quadratic function y - 6- + 12: - 5 is in general form. a) Determine the equation of the axis of symmetry. Use algebraic methods (you may check your work using your graphing calculator). b) Determine the domain and the range. Use algebraic methods (you may check your work using your graphing calculator). c) If f(q) = 0, what are the value(s) of q? What are these value(s) called?Question 2 (5 marks) Show and explain your work. Draw box(es) around your final answer(s). Use algebraic methods unless otherwise stated. A quadratic function, f (OC ), has a vertex at (-3, -2) and passes through the point (5, 6). Algebraically determine the function in standard form and then convert it to general form.(5 marks) Show and explain your work. Draw box(es) around your final answer(s). Use algebraic methods unless otherwise stated. 16- 12- 8 Vx -4 -2 2 Determine the equation of the quadratic function shown above in Factored Form. Use algebraic methods.Question 4 (5 marks) Show and explain your work. Draw box(es) around your final answer(s). Use algebraic methods unless otherwise stated. Solve and verify the following equation using algebraic methods: 4x? + 28x + 49 = 0Question 5 (5 marks) Show and explain your work. Draw box(es) around your final answer(s). Use algebraic methods unless otherwise stated. Jill braked to avoid an accident, creating skid marks 60 m long. For Jill's car on a dry road, the equation for stopping distance is d = 0. 0081s~ + 0. 137s . where d is Jill's stopping distance in metres and S is her speed in kilometres per hour. How fast was Jill driving? Use algebraic methods.Question 6 (5 marks) Show and explain your work. Draw box(es) around your final answer(s). Use algebraic methods unless otherwise stated. An amusement park sells day passes for $45. At this price the park sells 800 passes every day. The owners know from past years that they will sell 25 more passes per day for each price decrease of $1. a) Determine the function, R(x), that can be used to model the revenue, if x represents the price decrease in dollars? b) If the owners increase the price by $7.50, what will be their revenue? Use algebraic methods. c) What should the owners charge for the day pass to earn the maximum revenue? You may use your graphing calculator to determine this. Sketch your screens.(5 marks) Show and explain your work. Draw box(es) around your final answer(s). Use algebraic methods unless otherwise stated. 16- 12- 8 Vx -4 -2 2 Determine the equation of the quadratic function shown above in Factored Form. Use algebraic methods.Aus from the graph, x-intercepts are, - 1 and 4 Now, the equation of the quadratic function if two x-intercepts are given is, F ( x ) = c ( x-a) (x-6) where a and b are x-entercept and c is a comfant Thereforve, F (x ) =