Quadratic Equations and Functions MCQ Test: Quadratic Equations and Functions MCQs - Practice Questions
1. Find the vertex of the quadratic function: f(x) = x^2 - 4x + 5.
2. Given the quadratic function f(x) = x^2 - 4x + 4, what is the vertex of the parabola?
3. Express the quadratic function f(x) = 2x^2 - 8x + 8 in standard form.
4. Evaluate the expression f(2) for the quadratic function f(x) = x^2 - 5x + 6.
5. If the discriminant of a quadratic equation is negative, how many real roots does it have?
6. Factorize the expression x^2 - 6x + 9.
7. If the discriminant of a quadratic equation is zero, how many real roots does it have?
8. Simplify the expression (x - 2)(x + 2) for a quadratic equation.
9. If a quadratic function opens downward, what can you infer about the coefficient of the squared term?
10. What is the solution to the quadratic inequality x^2 - 9 < 0?
11. Evaluate the expression h(5) for the quadratic function h(x) = x^2 + 2x - 8.
12. Which of the following is the factorized form of the quadratic expression x^2 - 4?
13. Solve the quadratic equation 2x^2 + 3x - 5 = 0.
14. Evaluate the expression f(3) for the quadratic function f(x) = -x^2 + 2x + 5.
15. What is the product of the roots of the quadratic equation 3x^2 - 5x + 2 = 0?
16. What is the axis of symmetry for the quadratic function k(x) = 3x^2 - 12x + 5?
17. Which statement accurately describes the discriminant of a quadratic equation?
18. If a quadratic equation has two complex roots, what can you infer about its discriminant?
19. What is the range of the quadratic function h(x) = x^2 - 4?
20. Determine the solution set for the quadratic inequality -x^2 + 6x - 8 < 0.
21. If a quadratic equation has no real roots, what can you infer about its discriminant?
22. If a quadratic equation has no real roots, how many roots does it have in the complex number system?
23. What is the discriminant of the quadratic equation 3x^2 - 6x + 2 = 0?
24. If a quadratic equation has one real root, what can you conclude about its discriminant?
25. Express the quadratic function g(x) = -2x^2 - 8x - 6 in vertex form.
26. Find the x-intercept of the quadratic function f(x) = -4(x + 1)(x - 3).
27. Determine the solution set for the quadratic inequality 2x^2 - 8x + 6 > 0.
28. What is the axis of symmetry for the quadratic function g(x) = -2(x + 3)^2 + 5?
29. Determine the range of the quadratic function: g(x) = 2x^2 + 3.
30. What is the vertex form of the quadratic function f(x) = (x - 2)^2 + 3?
31. What is the sum of the roots of the quadratic equation 4x^2 - 7x + 3 = 0?
32. What is the y-intercept of the quadratic function g(x) = 2x^2 - 4x + 1?
33. What is the range of the quadratic function k(x) = 2x^2 + 4?
34. Which statement accurately describes the roots of a quadratic equation with a positive discriminant?
35. If a quadratic equation has two distinct real roots, what can you conclude about its discriminant?
36. Solve the quadratic equation: 2x^2 - 5x + 3 = 0.
37. If a quadratic equation has roots -4 and 5, what is the equation in factored form?
38. Solve the quadratic equation x^2 - 6x + 9 = 0.
39. What is the solution to the quadratic inequality 3x^2 - 2x - 5 < 0?
40. For the quadratic function h(x) = -x^2 + 4x - 2, what is the maximum or minimum value?