For questions 1-2 apply the quadratic formula to find the roots of the given function and then graph the function. Please show Work. 1. f(x) = x^2 4 2. g(x) = x^2 x 12 For questions 3-4 factor the quadratic expression completely and find the roots of the expression. 3. 20x^2+13x+2 4. 49x^2-14x-3 For question 5 complete the square and find the roots of the quadratic equation. 5. x^2+16x=0 In questions 6-10 use the discriminant to determine the number of solutions of the quadratic equation and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions. 6. x^2 + 6x 7 = 0 7. z^2 + z + 1 = 0 8.(3)^1/2y^2 4y 7(3)^1/2=0 9.2x^2 10x + 25 =0 10. 2x^2 -6x + 5 =0 11. Steve traveled 200 miles at a certain speed. Had he gone 10mph faster the trip would have taken 1 hour less. Find the speed of his vehicle.