13. True or False: The graph of every equation of the form y = ax2 + b, where a and b are real numbers and a is not zero, is a parabola with a vertex (0, b).
19. Use the graph of the related parabola to estimate the solutions to 0 = –3x2 + 3x +1. Round answers to three places.
20. The height in feet above the ground of a ball thrown straight up with an initial velocity of 96 ft/sec is given by the formula
h(t) = –16t2 + 96t + 4
where t is the time, in seconds, after the ball is thrown. Find the value(s) of t for which the height of the ball is 48 feet. Find the exact solution(s).
21. A rectangular room has an area of 201.5 square feet and a perimeter of 57 feet. What are the dimensions of the room? Find the exact solution.
22. Solve the inequality graphically and graph the solution set on a number line.
(x + 3)(x – 2) < 0
23. Solve the inequality graphically and graph the solution set on a number line.
x2 – 2x – 3 < 0
24. Solve the inequality algebraically and graph the solution set on a number line.
x2 – 9 <= 0
25. Solve the inequality graphically and graph the solution set on a number line.
x2 < 2x + 35